Pith Number

pith:OSGA6ALJ

pith:2017:OSGA6ALJQ56GKXQ4WV4QB2C62W

not attested not anchored not stored refs pending

Edges not in any monochromatic copy of a fixed graph

Hong Liu, Maryam Sharifzadeh, Oleg Pikhurko

arxiv:1705.01997 v3 · 2017-05-04 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OSGA6ALJQ56GKXQ4WV4QB2C62W}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:11:11.741511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

748c0f0169877c655e1cb57900e85ed593f6d910df61f8d103f3b5a31ce1a1ad

Aliases

arxiv: 1705.01997 · arxiv_version: 1705.01997v3 · doi: 10.48550/arxiv.1705.01997 · pith_short_12: OSGA6ALJQ56G · pith_short_16: OSGA6ALJQ56GKXQ4 · pith_short_8: OSGA6ALJ

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/OSGA6ALJQ56GKXQ4WV4QB2C62W \
  | 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: 748c0f0169877c655e1cb57900e85ed593f6d910df61f8d103f3b5a31ce1a1ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b3645c6978353d521048a279456c55d94f509ac3786e21358e57cd7e61657dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-04T20:05:08Z",
    "title_canon_sha256": "ace9cd598d0f1c6b0757d235df80b3b4dc03e978c7a4fb0bb6120516f6ce2ab3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.01997",
    "kind": "arxiv",
    "version": 3
  }
}