Pith Number

pith:HG6M75M6

pith:2006:HG6M75M64SJXOSVY2LOIDLQMJL

not attested not anchored not stored refs pending

From Invariants to Canonization in Parallel

Johannes Koebler, Oleg Verbitsky

arxiv:cs/0608074 v4 · 2006-08-18 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HG6M75M64SJXOSVY2LOIDLQMJL}

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	2026-05-18T04:08:54.038709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39bccff59ee493774ab8d2dc81ae0c4ad1415f1759f4d6a7ed28c351f649931c

Aliases

arxiv: cs/0608074 · arxiv_version: cs/0608074v4 · doi: 10.48550/arxiv.cs/0608074 · pith_short_12: HG6M75M64SJX · pith_short_16: HG6M75M64SJXOSVY · pith_short_8: HG6M75M6

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/HG6M75M64SJXOSVY2LOIDLQMJL \
  | 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: 39bccff59ee493774ab8d2dc81ae0c4ad1415f1759f4d6a7ed28c351f649931c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a255e80530d5145c0fd25dc3a9d580f3c86934fc11d50ee3bf7fa7a4f2f69064",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cs.CC",
    "submitted_at": "2006-08-18T09:46:09Z",
    "title_canon_sha256": "73f41ccdf79874d44e9715aa4798b897802850d210d532532899ca7b9673ddcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0608074",
    "kind": "arxiv",
    "version": 4
  }
}