Pith Number

pith:Y24I4BQ5

pith:2012:Y24I4BQ5JTYBAUEEST2TMB6DK6

not attested not anchored not stored refs pending

Vari\'et\'es CR polaris\'ees et G-polaris\'ees, partie I

Laurent Meersseman

arxiv:1212.0446 v2 · 2012-12-03 · math.CV · 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{Y24I4BQ5JTYBAUEEST2TMB6DK6}

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	2026-05-18T03:01:13.906522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6b88e061d4cf010508494f53607c357880edc1c086fb428f13369579ee4a6f0

Aliases

arxiv: 1212.0446 · arxiv_version: 1212.0446v2 · doi: 10.48550/arxiv.1212.0446 · pith_short_12: Y24I4BQ5JTYB · pith_short_16: Y24I4BQ5JTYBAUEE · pith_short_8: Y24I4BQ5

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/Y24I4BQ5JTYBAUEEST2TMB6DK6 \
  | 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: c6b88e061d4cf010508494f53607c357880edc1c086fb428f13369579ee4a6f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bf35325d51d9eafafde5123f8e8fcbdd0fa95f0fac2644ada0a05309054f65b",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-12-03T16:49:24Z",
    "title_canon_sha256": "ddbf4162eb87999786622f74687623bc91a3e81f9d308d3e2c2e41d765d523b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0446",
    "kind": "arxiv",
    "version": 2
  }
}