Pith Number

pith:Z2Y6T2Z4

pith:2011:Z2Y6T2Z4DO6ADSE72G5PINOZJU

not attested not anchored not stored refs pending

The Kreuzer bi-homomorphism

A. N. Schellekens

arxiv:1112.2587 v1 · 2011-12-12 · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z2Y6T2Z4DO6ADSE72G5PINOZJU}

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	2026-05-18T04:06:33.912687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ceb1e9eb3c1bbc01c89fd1baf435d94d2165a2cda07adafddb4e89f6b720423f

Aliases

arxiv: 1112.2587 · arxiv_version: 1112.2587v1 · doi: 10.48550/arxiv.1112.2587 · pith_short_12: Z2Y6T2Z4DO6A · pith_short_16: Z2Y6T2Z4DO6ADSE7 · pith_short_8: Z2Y6T2Z4

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/Z2Y6T2Z4DO6ADSE72G5PINOZJU \
  | 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: ceb1e9eb3c1bbc01c89fd1baf435d94d2165a2cda07adafddb4e89f6b720423f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4eecbdd34cd2938686f0cb2adb5be6b9a555f58834b7f826e42c14f4224f4575",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-12-12T15:30:50Z",
    "title_canon_sha256": "dcc5ae89b3177fc272a4441f190755caaaaf28e1a9dea54b0d69f83e7d9579b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2587",
    "kind": "arxiv",
    "version": 1
  }
}