Pith Number

pith:MMQTCYSY

pith:2018:MMQTCYSYL4YBX2TE52U2HSZSTN

not attested not anchored not stored refs pending

2-vertex Lorentzian Spin Foam Amplitudes for Dipole Transitions

Gabriele V. Stagno, Giorgio Sarno, Simone Speziale

arxiv:1801.03771 v2 · 2018-01-11 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MMQTCYSYL4YBX2TE52U2HSZSTN}

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.

Receipt and verification

First computed	2026-05-18T00:18:52.357191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63213162585f301bea64eea9a3cb329b4f99bfc28c88b296541c14590c6062f0

Aliases

arxiv: 1801.03771 · arxiv_version: 1801.03771v2 · doi: 10.48550/arxiv.1801.03771 · pith_short_12: MMQTCYSYL4YB · pith_short_16: MMQTCYSYL4YBX2TE · pith_short_8: MMQTCYSY

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/MMQTCYSYL4YBX2TE52U2HSZSTN \
  | 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: 63213162585f301bea64eea9a3cb329b4f99bfc28c88b296541c14590c6062f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88b4854e55986cf9b01e29767cb3b1aaabb70847dd1950e7c0d8b556c179600c",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-01-11T14:20:49Z",
    "title_canon_sha256": "e9dbed584218083736f9e574d7fddcbfc0e022a5d3cb21c6e33bc6bb4b56cd82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.03771",
    "kind": "arxiv",
    "version": 2
  }
}