Pith Number

pith:HZ4ERDK3

pith:2012:HZ4ERDK35JUIV3737RSS2SD5PP

not attested not anchored not stored refs pending

A word Hopf algebra based on the selection/quotient principle

A. Tanasa, G. H. E. Duchamp, N. Hoang-Nghia

arxiv:1207.6522 v2 · 2012-07-27 · 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{HZ4ERDK35JUIV3737RSS2SD5PP}

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	2026-05-18T03:13:21.871901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e78488d5bea688aeffbfc652d487d7bd5432b262e6962c9451147f0250e032f

Aliases

arxiv: 1207.6522 · arxiv_version: 1207.6522v2 · doi: 10.48550/arxiv.1207.6522 · pith_short_12: HZ4ERDK35JUI · pith_short_16: HZ4ERDK35JUIV373 · pith_short_8: HZ4ERDK3

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/HZ4ERDK35JUIV3737RSS2SD5PP \
  | 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: 3e78488d5bea688aeffbfc652d487d7bd5432b262e6962c9451147f0250e032f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5c479ea89edbb0faf57082bf49bc15e54c78c775d2d8729974d494dc4fa845a",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-07-27T12:14:59Z",
    "title_canon_sha256": "d7743a77765bf5a4879080759f93a4f62cbb9a74474dcf9c622e78a7e0226fca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6522",
    "kind": "arxiv",
    "version": 2
  }
}