Pith Number

pith:CYQTZ7CS

pith:2013:CYQTZ7CS54V2J6BVXAQGSMQEPZ

not attested not anchored not stored refs pending

QFT, RG, and all that, for mathematicians, in eleven pages

Abdelmalek Abdesselam

arxiv:1311.4897 v1 · 2013-11-19 · math.PR · math-ph · math.AP · math.DS · 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{CYQTZ7CS54V2J6BVXAQGSMQEPZ}

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	2026-05-18T03:06:42.469913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16213cfc52ef2ba4f835b8206932047e4f1fae8f81e02a6bc278e052413df2de

Aliases

arxiv: 1311.4897 · arxiv_version: 1311.4897v1 · doi: 10.48550/arxiv.1311.4897 · pith_short_12: CYQTZ7CS54V2 · pith_short_16: CYQTZ7CS54V2J6BV · pith_short_8: CYQTZ7CS

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/CYQTZ7CS54V2J6BVXAQGSMQEPZ \
  | 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: 16213cfc52ef2ba4f835b8206932047e4f1fae8f81e02a6bc278e052413df2de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a66ad03bc750e48c3e54d4f5bdd0a8c5691446f92d5dbdb145072ef946a084af",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-11-19T21:26:29Z",
    "title_canon_sha256": "dbe1b1424dea78ceb1a0260cfcffcb156d938bb98516ef50b2582ba0470525a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4897",
    "kind": "arxiv",
    "version": 1
  }
}