Pith Number

pith:45K7OUEH

pith:2014:45K7OUEHJ2G4FF4ENYV35QNYKO

not attested not anchored not stored refs pending

A note on the combinatorial derivation of non-small sets

Joshua Erde

arxiv:1409.8064 v1 · 2014-09-29 · 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{45K7OUEHJ2G4FF4ENYV35QNYKO}

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	2026-05-18T02:41:33.742299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e755f750874e8dc297846e2bbec1b853a57edac3fd873b5663c87395553bbe42

Aliases

arxiv: 1409.8064 · arxiv_version: 1409.8064v1 · doi: 10.48550/arxiv.1409.8064 · pith_short_12: 45K7OUEHJ2G4 · pith_short_16: 45K7OUEHJ2G4FF4E · pith_short_8: 45K7OUEH

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/45K7OUEHJ2G4FF4ENYV35QNYKO \
  | 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: e755f750874e8dc297846e2bbec1b853a57edac3fd873b5663c87395553bbe42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96f5da7b9bb629651a9af46e0488ae028c2247cd6122110a8e4f9e9ac3808e1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-09-29T10:44:15Z",
    "title_canon_sha256": "528713c4c013b3311437ba0095949b08aaa9ee2acfbeecb546774aa456d14fe9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.8064",
    "kind": "arxiv",
    "version": 1
  }
}