Pith Number

pith:J3Y2LOEK

pith:2019:J3Y2LOEK4UPKVFBDR66LPEA5J6

not attested not anchored not stored refs pending

On eight colour partitions

B.Hemanthkumar, H.S.Sumanth Bharadwaj

arxiv:1906.09892 v1 · 2019-06-24 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J3Y2LOEK4UPKVFBDR66LPEA5J6}

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	2026-05-17T23:42:36.295687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ef1a5b88ae51eaa94238fbcb7901d4f8f7ab5fb926210e3f32c8d1636d9f078

Aliases

arxiv: 1906.09892 · arxiv_version: 1906.09892v1 · doi: 10.48550/arxiv.1906.09892 · pith_short_12: J3Y2LOEK4UPK · pith_short_16: J3Y2LOEK4UPKVFBD · pith_short_8: J3Y2LOEK

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/J3Y2LOEK4UPKVFBDR66LPEA5J6 \
  | 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: 4ef1a5b88ae51eaa94238fbcb7901d4f8f7ab5fb926210e3f32c8d1636d9f078

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9c270fb912408b0d1552e57af647e77d73ff9dde519b01737dc0e51c65123ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-06-24T12:44:34Z",
    "title_canon_sha256": "89ed8117afd82d1893ea76091e9aaab78663f2fb8d0bd337978f6dff5260b0cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.09892",
    "kind": "arxiv",
    "version": 1
  }
}