Pith Number

pith:JHJCORNZ

pith:2010:JHJCORNZNASFURXOLXODMDV4KG

not attested not anchored not stored refs pending

Twisted bundles and twisted K-theory

Max Karoubi

arxiv:1012.2512 v1 · 2010-12-12 · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JHJCORNZNASFURXOLXODMDV4KG}

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	2026-05-18T04:33:28.451378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49d22745b968245a46ee5ddc360ebc5184a9d1386750c4db9bd4912b1291a381

Aliases

arxiv: 1012.2512 · arxiv_version: 1012.2512v1 · doi: 10.48550/arxiv.1012.2512 · pith_short_12: JHJCORNZNASF · pith_short_16: JHJCORNZNASFURXO · pith_short_8: JHJCORNZ

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/JHJCORNZNASFURXOLXODMDV4KG \
  | 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: 49d22745b968245a46ee5ddc360ebc5184a9d1386750c4db9bd4912b1291a381

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35d0716d7bc5e5b274ca53d4a43fc433a51e128f66a9e37b151b4891f33ddeb0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2010-12-12T06:54:00Z",
    "title_canon_sha256": "9c721c02c99a2f2fda9d0832607b6b96b6756a6531d5e59f3cb68bb69a4fa4c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2512",
    "kind": "arxiv",
    "version": 1
  }
}