Pith Number

pith:TP42ABJD

pith:2009:TP42ABJD7CLVWUP3LCB2524DB7

not attested not anchored not stored refs pending

Locally homogeneous structures on Hopf surfaces

Alexey Pokrovskiy (London School of Economics), Benjamin McKay (University College Cork)

arxiv:0910.0369 v2 · 2009-10-02 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TP42ABJD7CLVWUP3LCB2524DB7}

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	2026-07-05T00:18:02.610155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bf9a00523f8975b51fb5883aeeb830fe53b0910fd83c5d06365f688f5b72e1e

Aliases

arxiv: 0910.0369 · arxiv_version: 0910.0369v2 · doi: 10.48550/arxiv.0910.0369 · pith_short_12: TP42ABJD7CLV · pith_short_16: TP42ABJD7CLVWUP3 · pith_short_8: TP42ABJD

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/TP42ABJD7CLVWUP3LCB2524DB7 \
  | 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: 9bf9a00523f8975b51fb5883aeeb830fe53b0910fd83c5d06365f688f5b72e1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b25b844cb371b66d4363362fb2d6d79e48b176f0e657382db0a1fe8a5cbf06cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-10-02T10:20:02Z",
    "title_canon_sha256": "080e9c3b7b469b34f12470b8b9f5b2895fce96028a6e73cc42898b7b9f55efc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.0369",
    "kind": "arxiv",
    "version": 2
  }
}