Pith Number

pith:XLCXM5MX

pith:2017:XLCXM5MX74JGVGYZBVTYSJCYM7

not attested not anchored not stored refs pending

Fibrations of $\infty$-categories

David Ayala, John Francis

arxiv:1702.02681 v4 · 2017-02-09 · 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{XLCXM5MX74JGVGYZBVTYSJCYM7}

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.

Cited by

1 paper in Pith

On orthogonal factorization systems and double categories

Receipt and verification

First computed	2026-07-05T01:13:04.031097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bac5767597ff126a9b190d6789245867dd56a9316aac6ed1e21036e7721e314e

Aliases

arxiv: 1702.02681 · arxiv_version: 1702.02681v4 · doi: 10.48550/arxiv.1702.02681 · pith_short_12: XLCXM5MX74JG · pith_short_16: XLCXM5MX74JGVGYZ · pith_short_8: XLCXM5MX

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/XLCXM5MX74JGVGYZBVTYSJCYM7 \
  | 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: bac5767597ff126a9b190d6789245867dd56a9316aac6ed1e21036e7721e314e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30110eab3674e4e8fe48831d299032a85db1c4c9de893ce20ccfdc132e0ee028",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2017-02-09T02:21:23Z",
    "title_canon_sha256": "22edf05f2044142f20a4b4f436c58c40dd5c25f78249f06ad9f45dfe6cad6dff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.02681",
    "kind": "arxiv",
    "version": 4
  }
}