Pith Number

pith:JKUPCBZJ

pith:2012:JKUPCBZJPUGEIVGXS52DLMZ5RZ

not attested not anchored not stored refs pending

Differential restriction categories

G.S.H. Cruttwell, J.D. Gallagher, J.R.B. Cockett

arxiv:1208.4068 v1 · 2012-08-20 · 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{JKUPCBZJPUGEIVGXS52DLMZ5RZ}

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	2026-05-18T03:48:25.329325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4aa8f107297d0c4454d7977435b33d8e5347166f3e27d4247f6bf1082d10ee57

Aliases

arxiv: 1208.4068 · arxiv_version: 1208.4068v1 · doi: 10.48550/arxiv.1208.4068 · pith_short_12: JKUPCBZJPUGE · pith_short_16: JKUPCBZJPUGEIVGX · pith_short_8: JKUPCBZJ

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/JKUPCBZJPUGEIVGXS52DLMZ5RZ \
  | 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: 4aa8f107297d0c4454d7977435b33d8e5347166f3e27d4247f6bf1082d10ee57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3364a8b531e9547fda55608f8d47093c0e4a210f1292b156dc4cf2a1ff56e153",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2012-08-20T17:47:04Z",
    "title_canon_sha256": "a5a0f08841c55ddb063702e16e0761025ea7008559954d41b0b3d259fe379070"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4068",
    "kind": "arxiv",
    "version": 1
  }
}