Pith Number

pith:S7AESYMV

pith:2004:S7AESYMVN6JIHWKGDDBYTAQS3H

not attested not anchored not stored refs pending

Integer concave cocirculations and honeycombs

Alexander V. Karzanov

arxiv:math/0401313 v1 · 2004-01-23 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S7AESYMVN6JIHWKGDDBYTAQS3H}

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	2026-05-18T04:35:57.864912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97c04961956f9283d94618c3898212d9e0e636ad06c8215fd80ba3207b9ff898

Aliases

arxiv: math/0401313 · arxiv_version: math/0401313v1 · doi: 10.48550/arxiv.math/0401313 · pith_short_12: S7AESYMVN6JI · pith_short_16: S7AESYMVN6JIHWKG · pith_short_8: S7AESYMV

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/S7AESYMVN6JIHWKGDDBYTAQS3H \
  | 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: 97c04961956f9283d94618c3898212d9e0e636ad06c8215fd80ba3207b9ff898

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d00092be44b68079e6ec6899bd468562e84d35013acdcc89e5e29e5306fc451f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2004-01-23T14:55:26Z",
    "title_canon_sha256": "a64a3d0a85073936e89b9864b0df0306045cd965d840e0e0047e850865ce007f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0401313",
    "kind": "arxiv",
    "version": 1
  }
}