Pith Number

pith:PPDYXLRU

pith:2016:PPDYXLRU57PSRG4IFMYVDZDKYI

not attested not anchored not stored refs pending

A topos associated with a colored category

Katsuhiko Kuribayashi, Yasuhiude Numata

arxiv:1611.07246 v4 · 2016-11-22 · 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{PPDYXLRU57PSRG4IFMYVDZDKYI}

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	2026-05-18T00:31:56.074188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bc78bae34efdf289b882b3151e46ac23c49a3d2794797744d0513db8ce0f697

Aliases

arxiv: 1611.07246 · arxiv_version: 1611.07246v4 · doi: 10.48550/arxiv.1611.07246 · pith_short_12: PPDYXLRU57PS · pith_short_16: PPDYXLRU57PSRG4I · pith_short_8: PPDYXLRU

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/PPDYXLRU57PSRG4IFMYVDZDKYI \
  | 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: 7bc78bae34efdf289b882b3151e46ac23c49a3d2794797744d0513db8ce0f697

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aea9319f3f17656e5e9131e34ed661bb0647497ff92865365ed53c46b37a161f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2016-11-22T10:57:21Z",
    "title_canon_sha256": "0d77c27e4ba459322bff64235f97008e06f183885c7db2e122bd8ebc710d0b13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.07246",
    "kind": "arxiv",
    "version": 4
  }
}