Pith Number

pith:4MJVHUTE

pith:2015:4MJVHUTEEY4DRLFZS4RCRBEYXP

not attested not anchored not stored refs pending

Division by four

Cecil Qiu, Peter G. Doyle

arxiv:1504.01402 v1 · 2015-04-06 · math.LO · 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{4MJVHUTEEY4DRLFZS4RCRBEYXP}

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	2026-05-18T02:19:27.330412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e31353d264263838acb99722288498bbf5a156de16c87c06796e35a8a82f9a43

Aliases

arxiv: 1504.01402 · arxiv_version: 1504.01402v1 · doi: 10.48550/arxiv.1504.01402 · pith_short_12: 4MJVHUTEEY4D · pith_short_16: 4MJVHUTEEY4DRLFZ · pith_short_8: 4MJVHUTE

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/4MJVHUTEEY4DRLFZS4RCRBEYXP \
  | 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: e31353d264263838acb99722288498bbf5a156de16c87c06796e35a8a82f9a43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7950b9a6dfa3d82804b371f5ddd55c19b09eafc6010b7b5d492e087c993d486b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-04-06T20:07:34Z",
    "title_canon_sha256": "eefa1228a54e9cb23cdee31e397984d1905490b4aea77e5bc5518c5f256ea78a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01402",
    "kind": "arxiv",
    "version": 1
  }
}