Pith Number

pith:CIJNZTQV

pith:2012:CIJNZTQVADSSGWQCBTX37GW5UT

not attested not anchored not stored refs pending

Combinatorial Hopf algebraic description of the multiscale renormalization in quantum field theory

Adrian Tanasa, Thomas Krajewski, Vincent Rivasseau

arxiv:1211.4429 v2 · 2012-11-19 · math.CO · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CIJNZTQVADSSGWQCBTX37GW5UT}

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	2026-05-18T02:45:14.825925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1212dcce1500e5235a020cefbf9adda4d624a2a4f29cb28a895ed559e0b12c2b

Aliases

arxiv: 1211.4429 · arxiv_version: 1211.4429v2 · doi: 10.48550/arxiv.1211.4429 · pith_short_12: CIJNZTQVADSS · pith_short_16: CIJNZTQVADSSGWQC · pith_short_8: CIJNZTQV

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/CIJNZTQVADSSGWQCBTX37GW5UT \
  | 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: 1212dcce1500e5235a020cefbf9adda4d624a2a4f29cb28a895ed559e0b12c2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af81156bfd0ce91235f9962d4a6f929425e33b08fb339f85bf630d5f3543bc1e",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-11-19T14:18:14Z",
    "title_canon_sha256": "08aa829e90e816a73755b782f26efd405ca8b55bdaac1d23b9730f37eb2f0d6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4429",
    "kind": "arxiv",
    "version": 2
  }
}