Pith Number

pith:W2X2NGN2

pith:2017:W2X2NGN2YJ2QTCGKX42DWXVTZQ

not attested not anchored not stored refs pending

Blowing bubbles on the torus

Jean Steiner, Peter Doyle

arxiv:1710.09865 v1 · 2017-10-26 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W2X2NGN2YJ2QTCGKX42DWXVTZQ}

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	2026-05-18T00:31:55.313833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6afa699bac2750988cabf343b5eb3cc3c25613e9c5c2105593c60e56deb5cda

Aliases

arxiv: 1710.09865 · arxiv_version: 1710.09865v1 · doi: 10.48550/arxiv.1710.09865 · pith_short_12: W2X2NGN2YJ2Q · pith_short_16: W2X2NGN2YJ2QTCGK · pith_short_8: W2X2NGN2

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/W2X2NGN2YJ2QTCGKX42DWXVTZQ \
  | 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: b6afa699bac2750988cabf343b5eb3cc3c25613e9c5c2105593c60e56deb5cda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdab936a60cc67871a7d0ba8c5a9fbcfe6f71ff28b764865584671e795408356",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-10-26T18:45:10Z",
    "title_canon_sha256": "93f3ef7547535722aa13cb69bd5e65f21167390440b4dc8febf74d3c49d8c6cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.09865",
    "kind": "arxiv",
    "version": 1
  }
}