Pith Number

pith:S4OKYC3T

pith:2018:S4OKYC3TX3NESPCTL4YMGZCRTS

not attested not anchored not stored refs pending

Unavoidable chromatic patterns in 2-colorings of the complete graph

Adriana Hansberg, Amanda Montejano, Yair Caro

arxiv:1810.12375 v2 · 2018-10-29 · 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{S4OKYC3TX3NESPCTL4YMGZCRTS}

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	2026-05-17T23:49:11.344758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

971cac0b73beda493c535f30c364519c9da928bcbddd2778599a3064ad286a3e

Aliases

arxiv: 1810.12375 · arxiv_version: 1810.12375v2 · doi: 10.48550/arxiv.1810.12375 · pith_short_12: S4OKYC3TX3NE · pith_short_16: S4OKYC3TX3NESPCT · pith_short_8: S4OKYC3T

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/S4OKYC3TX3NESPCTL4YMGZCRTS \
  | 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: 971cac0b73beda493c535f30c364519c9da928bcbddd2778599a3064ad286a3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b49be13c4bcf7ea3611cfcda1802c7b657ed726a1b6ca33a87d1a15eecdf92c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-29T19:34:53Z",
    "title_canon_sha256": "5b4f6886f128f6fb35caf325ca59ab81a6c0b81a5cdb2241a76346c0e20a8596"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.12375",
    "kind": "arxiv",
    "version": 2
  }
}