Pith Number

pith:CL6K22IF

pith:2016:CL6K22IF2ZBYMIJONRZJYS3MMS

not attested not anchored not stored refs pending

An update on a few permanent conjectures

Fuzhen Zhang

arxiv:1608.02844 v1 · 2016-08-09 · 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{CL6K22IF2ZBYMIJONRZJYS3MMS}

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	2026-05-18T01:09:33.546754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12fcad6905d64386212e6c729c4b6c64bab8739f38209cdb8cf1bb98db20468e

Aliases

arxiv: 1608.02844 · arxiv_version: 1608.02844v1 · doi: 10.48550/arxiv.1608.02844 · pith_short_12: CL6K22IF2ZBY · pith_short_16: CL6K22IF2ZBYMIJO · pith_short_8: CL6K22IF

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/CL6K22IF2ZBYMIJONRZJYS3MMS \
  | 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: 12fcad6905d64386212e6c729c4b6c64bab8739f38209cdb8cf1bb98db20468e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8178ce91a7c15a7fcf1bfb468bc458dd50962ce3f8ab9fe1e034e8607d7e9d3d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-09T15:47:21Z",
    "title_canon_sha256": "6a8d8de99dbb498839e6e65c67389795a732134034f16c0656b4ac8a144f6475"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02844",
    "kind": "arxiv",
    "version": 1
  }
}