Pith Number

pith:WGOROANO

pith:2013:WGOROANOF55AVX7646LFQVHQKS

not attested not anchored not stored refs pending

Forcing $k$-repetitions in degree sequences

Asaf Shapira, Raphael Yuster, Yair Caro

arxiv:1312.1213 v1 · 2013-12-04 · math.CO

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

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	2026-05-18T03:05:34.653838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b19d1701ae2f7a0adffee7965854f054b7f845a2966d99df19c34abc154be761

Aliases

arxiv: 1312.1213 · arxiv_version: 1312.1213v1 · doi: 10.48550/arxiv.1312.1213 · pith_short_12: WGOROANOF55A · pith_short_16: WGOROANOF55AVX76 · pith_short_8: WGOROANO

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/WGOROANOF55AVX7646LFQVHQKS \
  | 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: b19d1701ae2f7a0adffee7965854f054b7f845a2966d99df19c34abc154be761

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00ed82f592f48e3b2cc876e870c116f4095f4a092c68a46704c7f117b33cc919",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-12-04T15:43:26Z",
    "title_canon_sha256": "1c91854db7b2047c1caffb7ac88789bfc30c0a2901a89de864fcf6c456f3e0db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1213",
    "kind": "arxiv",
    "version": 1
  }
}