Pith Number

pith:2RL34MQW

pith:2011:2RL34MQW45GPBDBWFSRCCV6XRQ

not attested not anchored not stored refs pending

Invariant theory of foliations of the projective plane

Eduardo Esteves, Marina Marchisio

arxiv:1101.5012 v1 · 2011-01-26 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2RL34MQW45GPBDBWFSRCCV6XRQ}

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	2026-05-18T04:30:47.010040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d457be3216e74cf08c362ca22157d78c362ac204e3e2c15769819dc5557cae75

Aliases

arxiv: 1101.5012 · arxiv_version: 1101.5012v1 · doi: 10.48550/arxiv.1101.5012 · pith_short_12: 2RL34MQW45GP · pith_short_16: 2RL34MQW45GPBDBW · pith_short_8: 2RL34MQW

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/2RL34MQW45GPBDBWFSRCCV6XRQ \
  | 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: d457be3216e74cf08c362ca22157d78c362ac204e3e2c15769819dc5557cae75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27c588c1931788d970292f8303bdc1463a71e7c587dadb47952052e1d6934aea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-01-26T09:34:57Z",
    "title_canon_sha256": "dad0de85d579a5da3b17de85be5fe0ac2cb9af969d6651718feacecfadc2770a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5012",
    "kind": "arxiv",
    "version": 1
  }
}