Pith Number

pith:TFMP3UWE

pith:2015:TFMP3UWEL324SHBANHNHQDMMZJ

not attested not anchored not stored refs pending

Sweeping up Zeta

Hugh Thomas, Nathan Williams

arxiv:1512.01483 v5 · 2015-12-04 · 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{TFMP3UWEL324SHBANHNHQDMMZJ}

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	2026-05-18T00:22:29.965160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9958fdd2c45ef5c91c2069da780d8cca7333361a08c90ca00b378b23e62983fa

Aliases

arxiv: 1512.01483 · arxiv_version: 1512.01483v5 · doi: 10.48550/arxiv.1512.01483 · pith_short_12: TFMP3UWEL324 · pith_short_16: TFMP3UWEL324SHBA · pith_short_8: TFMP3UWE

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/TFMP3UWEL324SHBANHNHQDMMZJ \
  | 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: 9958fdd2c45ef5c91c2069da780d8cca7333361a08c90ca00b378b23e62983fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a284d053039e0b245ffe5a85ec744a8243478dacd088b7504b38f376a3d525b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-04T17:19:16Z",
    "title_canon_sha256": "2c67a4feed48830f2cd1798d2a3a720cf5b994c333bb57c963a8ad1f842c1f05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01483",
    "kind": "arxiv",
    "version": 5
  }
}