Pith Number

pith:IH4SHWD4

pith:2012:IH4SHWD4PSPHGVOD2KID3CUVUD

not attested not anchored not stored refs pending

Champagne subdomains with unavoidable bubbles

Ivan Netuka, Wolfhard Hansen

arxiv:1207.7342 v1 · 2012-07-31 · 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{IH4SHWD4PSPHGVOD2KID3CUVUD}

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	2026-05-18T03:49:46.133022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41f923d87c7c9e7355c3d2903d8a95a0fee0cfba1023ce53960d37b851f7c286

Aliases

arxiv: 1207.7342 · arxiv_version: 1207.7342v1 · doi: 10.48550/arxiv.1207.7342 · pith_short_12: IH4SHWD4PSPH · pith_short_16: IH4SHWD4PSPHGVOD · pith_short_8: IH4SHWD4

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/IH4SHWD4PSPHGVOD2KID3CUVUD \
  | 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: 41f923d87c7c9e7355c3d2903d8a95a0fee0cfba1023ce53960d37b851f7c286

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecf21b0d98cfb2e57c17060fbe0a762d9676aeb60c0368c5ac83e55cfe3588b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-07-31T18:52:21Z",
    "title_canon_sha256": "d856d4d7f5c1d379e3089653bb766b96f3c91e4599f8b29c7beb47300ee291fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.7342",
    "kind": "arxiv",
    "version": 1
  }
}