Pith Number

pith:3HGAYYWW

pith:2011:3HGAYYWWRONLCNCEQGWGL3FH3P

not attested not anchored not stored refs pending

Aspects of algebraic exponentiation

Dominique Bourn, James R.A. Gray

arxiv:1112.4128 v1 · 2011-12-18 · 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{3HGAYYWWRONLCNCEQGWGL3FH3P}

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	2026-05-18T04:06:06.985501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9cc0c62d68b9ab1344481ac65eca7dbe07c16c12b2cd0b4d6ae4e0067fb0ad8

Aliases

arxiv: 1112.4128 · arxiv_version: 1112.4128v1 · doi: 10.48550/arxiv.1112.4128 · pith_short_12: 3HGAYYWWRONL · pith_short_16: 3HGAYYWWRONLCNCE · pith_short_8: 3HGAYYWW

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/3HGAYYWWRONLCNCEQGWGL3FH3P \
  | 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: d9cc0c62d68b9ab1344481ac65eca7dbe07c16c12b2cd0b4d6ae4e0067fb0ad8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0fdd09826bb6c84b65ebb7f9bc48414ba2e1cd943e4679eb16474ce7e020660",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2011-12-18T07:58:36Z",
    "title_canon_sha256": "8c6247f975fedfafd5c29d193a9392675408a90ceb4c9a963a68da49643f9860"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4128",
    "kind": "arxiv",
    "version": 1
  }
}