Pith Number

pith:F7KQJCDT

pith:2015:F7KQJCDTHUW2TWECTBM477LJ6O

not attested not anchored not stored refs pending

Fibration Categories are Fibrant Relative Categories

Lennart Meier

arxiv:1503.02036 v2 · 2015-03-06 · 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{F7KQJCDTHUW2TWECTBM477LJ6O}

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	2026-05-18T00:54:20.827694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fd50488733d2da9d8829859cffd69f3901ec29c0fb10cd1597dbdc7c3f69601

Aliases

arxiv: 1503.02036 · arxiv_version: 1503.02036v2 · doi: 10.48550/arxiv.1503.02036 · pith_short_12: F7KQJCDTHUW2 · pith_short_16: F7KQJCDTHUW2TWEC · pith_short_8: F7KQJCDT

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/F7KQJCDTHUW2TWECTBM477LJ6O \
  | 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: 2fd50488733d2da9d8829859cffd69f3901ec29c0fb10cd1597dbdc7c3f69601

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ced7409fc874688ee55f9ed1fb060054594f371a41044a4d5df6f9243846852",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-03-06T19:04:44Z",
    "title_canon_sha256": "cb8558123e67fec438fd434b60a63cac3399450325a024a25535d20caa6b9b38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02036",
    "kind": "arxiv",
    "version": 2
  }
}