Pith Number

pith:XIMTIGQM

pith:2009:XIMTIGQMH73KYVCMJDB2Y32QKU

not attested not anchored not stored refs pending

Lorentzian spin foam amplitudes: graphical calculus and asymptotics

Frank Hellmann, John W. Barrett, Richard J. Dowdall, Roberto Pereira, Winston J. Fairbairn

arxiv:0907.2440 v4 · 2009-07-14 · gr-qc · hep-th · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XIMTIGQMH73KYVCMJDB2Y32QKU}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

2 papers in Pith

Spinfoams, $\gamma$-duality and parity violation in primordial gravitational waves

Toller matrices and the Feynman $i\varepsilon$ in spinfoams

Receipt and verification

First computed	2026-05-18T02:34:38.783619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba19341a0c3ff6ac544c48c3ac6f50550371caecbf43747a8632701b0d8e972a

Aliases

arxiv: 0907.2440 · arxiv_version: 0907.2440v4 · doi: 10.48550/arxiv.0907.2440 · pith_short_12: XIMTIGQMH73K · pith_short_16: XIMTIGQMH73KYVCM · pith_short_8: XIMTIGQM

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/XIMTIGQMH73KYVCMJDB2Y32QKU \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: ba19341a0c3ff6ac544c48c3ac6f50550371caecbf43747a8632701b0d8e972a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7d83107403d07e1f7587fa64ba377d2c83830f917b1de24a748c27835063413",
    "cross_cats_sorted": [
      "hep-th",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-07-14T19:54:14Z",
    "title_canon_sha256": "42a601af861001f5ce1a94713b54591ac29e2a399681564a40ae6f50df17857c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.2440",
    "kind": "arxiv",
    "version": 4
  }
}