Pith Number

pith:XEGCCKVD

pith:2015:XEGCCKVD5GQQQPWVTLV52UPFYI

not attested not anchored not stored refs pending

Rigidification of higher categorical structures

Geoffroy Horel, Giovanni Caviglia

arxiv:1511.01119 v2 · 2015-11-03 · 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{XEGCCKVD5GQQQPWVTLV52UPFYI}

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	2026-05-18T00:54:20.704201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b90c212aa3e9a1083ed59aebdd51e5c216e1f2670c8a394b190bac610c0e8f22

Aliases

arxiv: 1511.01119 · arxiv_version: 1511.01119v2 · doi: 10.48550/arxiv.1511.01119 · pith_short_12: XEGCCKVD5GQQ · pith_short_16: XEGCCKVD5GQQQPWV · pith_short_8: XEGCCKVD

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/XEGCCKVD5GQQQPWVTLV52UPFYI \
  | 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: b90c212aa3e9a1083ed59aebdd51e5c216e1f2670c8a394b190bac610c0e8f22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee991270c8f8686168a6c182ff0866b296c152455c8478793afb954da108ea18",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-11-03T21:23:52Z",
    "title_canon_sha256": "f7f9a7e40b9e4feccc7e059d42fe9199cd0a469ad7cb391e10466e2bfe7ac398"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01119",
    "kind": "arxiv",
    "version": 2
  }
}