Pith Number

pith:CQQH73YB

pith:2010:CQQH73YBZT7C7OI2LGEPSPFEAQ

not attested not anchored not stored refs pending

The defect

Franz-Viktor Kuhlmann

arxiv:1004.2135 v1 · 2010-04-13 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CQQH73YBZT7C7OI2LGEPSPFEAQ}

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	2026-05-18T03:29:04.024456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14207fef01ccfe2fb91a5988f93ca4042fceadeec7515cc2ac5e5639bae7e0d4

Aliases

arxiv: 1004.2135 · arxiv_version: 1004.2135v1 · doi: 10.48550/arxiv.1004.2135 · pith_short_12: CQQH73YBZT7C · pith_short_16: CQQH73YBZT7C7OI2 · pith_short_8: CQQH73YB

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/CQQH73YBZT7C7OI2LGEPSPFEAQ \
  | 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: 14207fef01ccfe2fb91a5988f93ca4042fceadeec7515cc2ac5e5639bae7e0d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a092d43ab4989a160f63285094d0dcbf7f551ed3cef4c60488be2a480991075",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-04-13T10:04:25Z",
    "title_canon_sha256": "31ffd153b191b721aae9f9904c6c0283164ab0414616788cb21a27abdc7f8184"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.2135",
    "kind": "arxiv",
    "version": 1
  }
}