Pith Number

pith:JCPGTO6A

pith:2009:JCPGTO6AUDLVVCCGZZDVJ7W4A2

not attested not anchored not stored refs pending

A bottle in a freezer

Elisabetta Rocca, Juergen Sprekels, Pavel Krejci

arxiv:0904.4380 v1 · 2009-04-28 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JCPGTO6AUDLVVCCGZZDVJ7W4A2}

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	2026-05-18T03:02:57.671132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

489e69bbc0a0d75a8846ce4754fedc069db3a623aeb06e1fe74b30dd61e19c43

Aliases

arxiv: 0904.4380 · arxiv_version: 0904.4380v1 · doi: 10.48550/arxiv.0904.4380 · pith_short_12: JCPGTO6AUDLV · pith_short_16: JCPGTO6AUDLVVCCG · pith_short_8: JCPGTO6A

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/JCPGTO6AUDLVVCCGZZDVJ7W4A2 \
  | 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: 489e69bbc0a0d75a8846ce4754fedc069db3a623aeb06e1fe74b30dd61e19c43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ede3ff5e311f6c05296f026500a5e8587d240739e828c2208e316ce45260f4d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-04-28T12:35:45Z",
    "title_canon_sha256": "e7c51212921332e23487bdd4aea6941332dc4d9b6e6abb940b995f9a5cd3fd8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.4380",
    "kind": "arxiv",
    "version": 1
  }
}