Pith Number

pith:MSH72NQX

pith:2010:MSH72NQXNX5PT5FPUMFU6OMK27

not attested not anchored not stored refs pending

Sur les vari\'et\'es X dans P^N telles que par n points passe une courbe de X de degr\'e donn\'e

Jean-Marie Trepreau, Luc Pirio

arxiv:1012.3358 v1 · 2010-12-15 · 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{MSH72NQXNX5PT5FPUMFU6OMK27}

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	2026-05-18T04:33:17.028393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

648ffd36176dfaf9f4afa30b4f398ad7dcfaeb372ffe2302dea767244e6ae9a6

Aliases

arxiv: 1012.3358 · arxiv_version: 1012.3358v1 · doi: 10.48550/arxiv.1012.3358 · pith_short_12: MSH72NQXNX5P · pith_short_16: MSH72NQXNX5PT5FP · pith_short_8: MSH72NQX

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/MSH72NQXNX5PT5FPUMFU6OMK27 \
  | 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: 648ffd36176dfaf9f4afa30b4f398ad7dcfaeb372ffe2302dea767244e6ae9a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75e98898ec217499875792e79c95c174f144f0fdf87478a3d7514e27daf8af61",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-12-15T15:15:36Z",
    "title_canon_sha256": "89701f3c2d65bbaf3cbecd28ecba429d015435b86a44380d5fd26ed9e1bf2cd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3358",
    "kind": "arxiv",
    "version": 1
  }
}