Pith Number

pith:4ETQ2ZBG

pith:2012:4ETQ2ZBGAUW7YO7RMBM36TGQGY

not attested not anchored not stored refs pending

Rigorous quantum field theory functional integrals over the p-adics: research announcement

Abdelmalek Abdesselam, Ajay Chandra, Gianluca Guadagni

arxiv:1210.7717 v1 · 2012-10-29 · math.PR · hep-th · math-ph · math.MP · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ETQ2ZBGAUW7YO7RMBM36TGQGY}

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	2026-05-18T03:41:58.137247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1270d6426052dfc3bf16059bf4cd0362c4f0d3d6c2febb4e7703fc9299dcf51

Aliases

arxiv: 1210.7717 · arxiv_version: 1210.7717v1 · doi: 10.48550/arxiv.1210.7717 · pith_short_12: 4ETQ2ZBGAUW7 · pith_short_16: 4ETQ2ZBGAUW7YO7R · pith_short_8: 4ETQ2ZBG

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/4ETQ2ZBGAUW7YO7RMBM36TGQGY \
  | 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: e1270d6426052dfc3bf16059bf4cd0362c4f0d3d6c2febb4e7703fc9299dcf51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7b6075fa9360735e15375467f53db8f81a68af1f9984772c04f461c631747de",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-29T16:30:22Z",
    "title_canon_sha256": "90f6288293467823ce4047796709b9714015da226ce9f82f4f7c632f634bdeab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7717",
    "kind": "arxiv",
    "version": 1
  }
}