Pith Number

pith:ZYXZDE2D

pith:2012:ZYXZDE2D7UOLMKI7RNBSEWN3J3

not attested not anchored not stored refs pending

Champagne subregions with unavoidable bubbles

Ivan Netuka, Wolfhard Hansen

arxiv:1206.1514 v2 · 2012-06-07 · 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{ZYXZDE2D7UOLMKI7RNBSEWN3J3}

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	2026-05-18T03:53:19.513861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce2f919343fd1cb6291f8b432259bb4ef1fe5cf88cc801d489248680218881a6

Aliases

arxiv: 1206.1514 · arxiv_version: 1206.1514v2 · doi: 10.48550/arxiv.1206.1514 · pith_short_12: ZYXZDE2D7UOL · pith_short_16: ZYXZDE2D7UOLMKI7 · pith_short_8: ZYXZDE2D

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/ZYXZDE2D7UOLMKI7RNBSEWN3J3 \
  | 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: ce2f919343fd1cb6291f8b432259bb4ef1fe5cf88cc801d489248680218881a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad54c75b0be51c140f5bab6c7567ffc4446c2f20b25e0ab895aaf3b24c4e8bb9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-06-07T14:46:24Z",
    "title_canon_sha256": "ba18b24ff6d3adf80456577f1e758d6e91d9ab0b9facde4e35d4b436ed2525ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1514",
    "kind": "arxiv",
    "version": 2
  }
}