Pith Number

pith:P3T7VFYV

pith:2012:P3T7VFYVTAMAZBNDB5OPZOFQHD

not attested not anchored not stored refs pending

Supersaturation Problem for Color-Critical Graphs

Oleg Pikhurko, Zelealem B. Yilma

arxiv:1208.4319 v3 · 2012-08-21 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P3T7VFYVTAMAZBNDB5OPZOFQHD}

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	2026-05-18T01:00:10.672257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ee7fa971598180c85a30f5cfcb8b038c417ac06f626cba95ad21885fb0377b0

Aliases

arxiv: 1208.4319 · arxiv_version: 1208.4319v3 · doi: 10.48550/arxiv.1208.4319 · pith_short_12: P3T7VFYVTAMA · pith_short_16: P3T7VFYVTAMAZBND · pith_short_8: P3T7VFYV

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/P3T7VFYVTAMAZBNDB5OPZOFQHD \
  | 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: 7ee7fa971598180c85a30f5cfcb8b038c417ac06f626cba95ad21885fb0377b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49a153f26e57c49f0c2d1e61829ed2e458e546b8c1c607a565b462457d08fa5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-21T17:45:29Z",
    "title_canon_sha256": "4f5c723597eff05cba7a1a82575334d3abda60ec142d1af7a2ac4b49a77bfdd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4319",
    "kind": "arxiv",
    "version": 3
  }
}