Pith Number

pith:C3GJQ5E5

pith:2026:C3GJQ5E5RLP2PLF3WJG46TEFA2

not attested not anchored not stored refs pending

Fibrations in Oriented Category Theory

David Gepner, Hadrian Heine

arxiv:2607.18418 v1 · 2026-07-20 · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C3GJQ5E5RLP2PLF3WJG46TEFA2}

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	2026-07-22T00:22:47.260184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16cc98749d8adfa7acbbb24dcf4c8506ba5c8d18546bfd7e1fe35da6d9ed3478

Aliases

arxiv: 2607.18418 · arxiv_version: 2607.18418v1 · doi: 10.48550/arxiv.2607.18418 · pith_short_12: C3GJQ5E5RLP2 · pith_short_16: C3GJQ5E5RLP2PLF3 · pith_short_8: C3GJQ5E5

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/C3GJQ5E5RLP2PLF3WJG46TEFA2 \
  | 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: 16cc98749d8adfa7acbbb24dcf4c8506ba5c8d18546bfd7e1fe35da6d9ed3478

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2350ebade61ffdbf0718b2e0b998e4db6acea993b78376b937ec1de80744e0b9",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-07-20T18:08:57Z",
    "title_canon_sha256": "32abd662b0c265f3314603e82e897b3fbdb668b7c6b88189fafc6b6b762a53c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18418",
    "kind": "arxiv",
    "version": 1
  }
}