Pith Number

pith:DQ2M36KT

pith:2006:DQ2M36KTE7CYQX5CVCFYDTE3KG

not attested not anchored not stored refs pending

Quantum field theory meets Hopf algebra

Christian Brouder (IMPMC)

arxiv:hep-th/0611153 v3 · 2006-11-14 · 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{DQ2M36KTE7CYQX5CVCFYDTE3KG}

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	2026-05-18T02:35:38.919715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c34cdf95327c5885fa2a88b81cc9b5188b2f85e5797251ab93c5911737f734c

Aliases

arxiv: hep-th/0611153 · arxiv_version: hep-th/0611153v3 · doi: 10.48550/arxiv.hep-th/0611153 · pith_short_12: DQ2M36KTE7CY · pith_short_16: DQ2M36KTE7CYQX5C · pith_short_8: DQ2M36KT

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/DQ2M36KTE7CYQX5CVCFYDTE3KG \
  | 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: 1c34cdf95327c5885fa2a88b81cc9b5188b2f85e5797251ab93c5911737f734c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92ad19a42f28820b80435f891e836d4602571d49129f2df7f57fba7bb881f9ed",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2006-11-14T16:00:20Z",
    "title_canon_sha256": "a8334764281f4f654de2789e97317d0889791277bd909ec3c1f34270fa9ab119"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0611153",
    "kind": "arxiv",
    "version": 3
  }
}