Pith Number

pith:5TGNJVIJ

pith:2016:5TGNJVIJIILEN2EUVKUFLCIOUO

not attested not anchored not stored refs pending

Chromatic Number of Random Kneser Hypergraphs

Hossein Hajiabolhassan, Meysam Alishahi

arxiv:1607.07432 v2 · 2016-07-25 · 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{5TGNJVIJIILEN2EUVKUFLCIOUO}

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	2026-05-18T01:09:06.192353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecccd4d509421646e894aaa855890ea3a8eb7ec47e32925a19a9487e57203818

Aliases

arxiv: 1607.07432 · arxiv_version: 1607.07432v2 · doi: 10.48550/arxiv.1607.07432 · pith_short_12: 5TGNJVIJIILE · pith_short_16: 5TGNJVIJIILEN2EU · pith_short_8: 5TGNJVIJ

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/5TGNJVIJIILEN2EUVKUFLCIOUO \
  | 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: ecccd4d509421646e894aaa855890ea3a8eb7ec47e32925a19a9487e57203818

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfdf8a76f6a22bce546f2404fff90fbce51e59c91fa02738ac5b4ecd2ed6b6a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-07-25T19:57:01Z",
    "title_canon_sha256": "e96b61e9248cdc6095bc63f702f44d1d4e2f98c3330afd4e31b7b3ebc35bdfb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07432",
    "kind": "arxiv",
    "version": 2
  }
}