Pith Number

pith:XRQ2N3RC

pith:2012:XRQ2N3RC4XN5KDOIGT6UCLZ34A

not attested not anchored not stored refs pending

A derivability criterion based on the existence of adjunctions

Beatriz Rodriguez Gonzalez

arxiv:1202.3359 v2 · 2012-02-15 · math.CT · math.AG · math.AT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XRQ2N3RC4XN5KDOIGT6UCLZ34A}

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	2026-05-18T02:52:12.980261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc61a6ee22e5dbd50dc834fd412f3be01cb8ec0cc8128aaa06d7f23b89943200

Aliases

arxiv: 1202.3359 · arxiv_version: 1202.3359v2 · doi: 10.48550/arxiv.1202.3359 · pith_short_12: XRQ2N3RC4XN5 · pith_short_16: XRQ2N3RC4XN5KDOI · pith_short_8: XRQ2N3RC

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/XRQ2N3RC4XN5KDOIGT6UCLZ34A \
  | 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: bc61a6ee22e5dbd50dc834fd412f3be01cb8ec0cc8128aaa06d7f23b89943200

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21f85ba00f3491e1d405c5055170789e2996eb9488c0156e08d53a59197e19f2",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2012-02-15T16:47:44Z",
    "title_canon_sha256": "e35b8911a2edc29ce9108492448cab34d7f85f03cc7a7534fd9a50c74c0d1d94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3359",
    "kind": "arxiv",
    "version": 2
  }
}