Pith Number

pith:4SZQANHR

pith:2009:4SZQANHRJ76VA7S2B3YHAP5L7H

not attested not anchored not stored refs pending

The Gauss-Bonnet theorem and Crofton type formulas in complex space forms

Eduardo Gallego, Gil Solanes, Judit Abardia

arxiv:0904.0336 v2 · 2009-04-02 · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4SZQANHRJ76VA7S2B3YHAP5L7H}

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	2026-05-18T04:17:15.579791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4b30034f14ffd507e5a0ef0703fabf9e9b3f54b4cc875290ed66c9655586b28

Aliases

arxiv: 0904.0336 · arxiv_version: 0904.0336v2 · doi: 10.48550/arxiv.0904.0336 · pith_short_12: 4SZQANHRJ76V · pith_short_16: 4SZQANHRJ76VA7S2 · pith_short_8: 4SZQANHR

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/4SZQANHRJ76VA7S2B3YHAP5L7H \
  | 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: e4b30034f14ffd507e5a0ef0703fabf9e9b3f54b4cc875290ed66c9655586b28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efadd7cdaca267395af65c64392f0f93c24d2915ea7dfba66d5ea915ed627506",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-04-02T08:20:45Z",
    "title_canon_sha256": "4b981acf6dc80ba6ece2a7270f43a752dd959049b2d0d9b74702ffd53803bfee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.0336",
    "kind": "arxiv",
    "version": 2
  }
}