Pith Number

pith:O4VP5SUC

pith:2016:O4VP5SUC5OJ5UV7AMSALV6O3DF

not attested not anchored not stored refs pending

Topoi of parametrized objects

Marc Hoyois

arxiv:1611.02267 v2 · 2016-11-07 · 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{O4VP5SUC5OJ5UV7AMSALV6O3DF}

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	2026-05-17T23:48:07.008944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

772afeca82eb93da57e06480baf9db194549899e75191484dca98e184939d073

Aliases

arxiv: 1611.02267 · arxiv_version: 1611.02267v2 · doi: 10.48550/arxiv.1611.02267 · pith_short_12: O4VP5SUC5OJ5 · pith_short_16: O4VP5SUC5OJ5UV7A · pith_short_8: O4VP5SUC

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/O4VP5SUC5OJ5UV7AMSALV6O3DF \
  | 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: 772afeca82eb93da57e06480baf9db194549899e75191484dca98e184939d073

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07c70c5408e6f42e73532428d37be6cdc781634051dd67acb9523bde421c13c8",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2016-11-07T20:57:43Z",
    "title_canon_sha256": "209b4deda08c6a2fe979b3324c845ac93c7fb09d65dca5931d5a783a7642c1b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02267",
    "kind": "arxiv",
    "version": 2
  }
}