Pith Number

pith:ELCY46U3

pith:2012:ELCY46U3K4KP3LDDFBDVNBZK2Z

not attested not anchored not stored refs pending

Schwinger-Dyson Equations in Group Field Theories of Quantum Gravity

Thomas Krajewski

arxiv:1211.1244 v1 · 2012-11-06 · math-ph · gr-qc · hep-th · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ELCY46U3K4KP3LDDFBDVNBZK2Z}

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	2026-05-18T03:41:22.006540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22c58e7a9b5714fdac63284756872ad676ded6494517f1858a203188c6b5496a

Aliases

arxiv: 1211.1244 · arxiv_version: 1211.1244v1 · doi: 10.48550/arxiv.1211.1244 · pith_short_12: ELCY46U3K4KP · pith_short_16: ELCY46U3K4KP3LDD · pith_short_8: ELCY46U3

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/ELCY46U3K4KP3LDDFBDVNBZK2Z \
  | 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: 22c58e7a9b5714fdac63284756872ad676ded6494517f1858a203188c6b5496a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca4a3c0e26a870e527c68081ed437524d659ba09361e5eafdf445f618c34e7ca",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-11-06T14:45:44Z",
    "title_canon_sha256": "fbbd85958343ecaa1adf18f4eaaab7143325c1d5d2aa43136c5a644ea4679cd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1244",
    "kind": "arxiv",
    "version": 1
  }
}