Pith Number

pith:QOPWCLDH

pith:2016:QOPWCLDHD4NNEVOBY47X3OV4G6

not attested not anchored not stored refs pending

A Singular Mathematical Promenade

Etienne Ghys

arxiv:1612.06373 v4 · 2016-12-18 · math.GT · math.AG · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QOPWCLDHD4NNEVOBY47X3OV4G6}

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	2026-05-18T00:36:52.207161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

839f612c671f1ad255c1c73f7dbabc37918e3a655e873e2f83e954e0e3e43aa5

Aliases

arxiv: 1612.06373 · arxiv_version: 1612.06373v4 · doi: 10.48550/arxiv.1612.06373 · pith_short_12: QOPWCLDHD4NN · pith_short_16: QOPWCLDHD4NNEVOB · pith_short_8: QOPWCLDH

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/QOPWCLDHD4NNEVOBY47X3OV4G6 \
  | 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: 839f612c671f1ad255c1c73f7dbabc37918e3a655e873e2f83e954e0e3e43aa5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bb27c0337005180e7ea56896f3993e20cbf2f1e289dc5def845fcdea18ed753",
    "cross_cats_sorted": [
      "math.AG",
      "math.HO"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-12-18T14:12:46Z",
    "title_canon_sha256": "808cd997986162cf3bef4aaeb64eca6867d83412f1b314416086d06302002181"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06373",
    "kind": "arxiv",
    "version": 4
  }
}