Pith Number

pith:VMQE2U6S

pith:2022:VMQE2U6SMYWD36DAJRJVMNYCWF

not attested not anchored not stored refs pending

Numerical evaluation of spin foam amplitudes beyond simplices

Courtney Allen, Florian Girelli, Sebastian Steinhaus

arxiv:2201.09902 v2 · 2022-01-24 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VMQE2U6SMYWD36DAJRJVMNYCWF}

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

1 paper in Pith

(2+1) Lorentzian quantum cosmology from spin-foams: opportunities and obstacles for semi-classicality

Receipt and verification

First computed	2026-07-05T04:05:16.413349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab204d53d2662c3df8604c53563702b15673c0a35ab1d4d20b01d52c533f8acf

Aliases

arxiv: 2201.09902 · arxiv_version: 2201.09902v2 · doi: 10.48550/arxiv.2201.09902 · pith_short_12: VMQE2U6SMYWD · pith_short_16: VMQE2U6SMYWD36DA · pith_short_8: VMQE2U6S

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/VMQE2U6SMYWD36DAJRJVMNYCWF \
  | 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: ab204d53d2662c3df8604c53563702b15673c0a35ab1d4d20b01d52c533f8acf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "137ede34f3e8082a72b18d95b21f257c001721fe568477ce9c4f7ff21ff2de56",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-01-24T19:00:11Z",
    "title_canon_sha256": "8eb5bebcbf4585ddd9e421c54c268272eba94ecf7aaf600163196631cb11c4fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.09902",
    "kind": "arxiv",
    "version": 2
  }
}