Pith Number

pith:4TMSGFFV

pith:2021:4TMSGFFVAUL6TMN26QMJJSXXGO

not attested not anchored not stored refs pending

Composing PROBs

Daniel Graves

arxiv:2105.13166 v2 · 2021-05-27 · math.CT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4TMSGFFVAUL6TMN26QMJJSXXGO}

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	2026-07-05T04:51:37.837921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4d92314b50517e9b1baf41894caf733a0c49e21f8abdb0203220054b381bc22

Aliases

arxiv: 2105.13166 · arxiv_version: 2105.13166v2 · doi: 10.48550/arxiv.2105.13166 · pith_short_12: 4TMSGFFVAUL6 · pith_short_16: 4TMSGFFVAUL6TMN2 · pith_short_8: 4TMSGFFV

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/4TMSGFFVAUL6TMN26QMJJSXXGO \
  | 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: e4d92314b50517e9b1baf41894caf733a0c49e21f8abdb0203220054b381bc22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "862184da81b34ba527cf50b532b20aabad041f75d0d3aaa64cbd2b0977393cd3",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2021-05-27T14:18:30Z",
    "title_canon_sha256": "07809778efc2d5486952322083bcfc5cf050d64819073a7d7c44eaccfb68d467"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.13166",
    "kind": "arxiv",
    "version": 2
  }
}