Pith Number

pith:AQUL3SLX

pith:2012:AQUL3SLX5HMUJQELWNIPIFTVTS

not attested not anchored not stored refs pending

Field diffeomorphisms and the algebraic structure of perturbative expansions

Andrea Velenich, Dirk Kreimer

arxiv:1204.3790 v1 · 2012-04-17 · hep-th · math-ph · 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{AQUL3SLX5HMUJQELWNIPIFTVTS}

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	2026-05-18T01:57:51.540737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0428bdc977e9d944c08bb350f416759cbc947aad4f5620d29738cd767cb24b12

Aliases

arxiv: 1204.3790 · arxiv_version: 1204.3790v1 · doi: 10.48550/arxiv.1204.3790 · pith_short_12: AQUL3SLX5HMU · pith_short_16: AQUL3SLX5HMUJQEL · pith_short_8: AQUL3SLX

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/AQUL3SLX5HMUJQELWNIPIFTVTS \
  | 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: 0428bdc977e9d944c08bb350f416759cbc947aad4f5620d29738cd767cb24b12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aec3dd06fa2fb0d03e7ede5e70515944ad50e422ce7aafe1aa09f16b4e0299a1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-04-17T13:32:58Z",
    "title_canon_sha256": "b4aa2762a75702545b20ee234c698b0ea37c62c0c1ef18ae0f4069ffa41ed5ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3790",
    "kind": "arxiv",
    "version": 1
  }
}