Pith Number

pith:ZGW4MJ6V

pith:2016:ZGW4MJ6VAE4VCKJ2S6OZFNXOLA

not attested not anchored not stored refs pending

On the representation number of a crown graph

Artem Pyatkin, Marc Glen, Sergey Kitaev

arxiv:1609.00674 v1 · 2016-09-02 · 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{ZGW4MJ6VAE4VCKJ2S6OZFNXOLA}

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	2026-05-18T01:06:23.463751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9adc627d5013951293a979d92b6ee5835cf0a2ef13e9b6b93345ba781ec7d24

Aliases

arxiv: 1609.00674 · arxiv_version: 1609.00674v1 · doi: 10.48550/arxiv.1609.00674 · pith_short_12: ZGW4MJ6VAE4V · pith_short_16: ZGW4MJ6VAE4VCKJ2 · pith_short_8: ZGW4MJ6V

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/ZGW4MJ6VAE4VCKJ2S6OZFNXOLA \
  | 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: c9adc627d5013951293a979d92b6ee5835cf0a2ef13e9b6b93345ba781ec7d24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30582a0027353d68f7c6adae305a35211cb8dbbeff613938bbb35cc71f849858",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-02T17:25:47Z",
    "title_canon_sha256": "b2a83669f8ed8bfced568db439af509a3f41dc2c2af4c4d484fa0904463b90d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00674",
    "kind": "arxiv",
    "version": 1
  }
}