Pith Number

pith:JMMR37YO

pith:2007:JMMR37YOY5FXF235PHINXLG4KN

not attested not anchored not stored refs pending

On Brill-Noether loci over Quot schemes and a Torelli theorem

Cristina Martinez Ramirez

arxiv:0709.3476 v4 · 2007-09-21 · math.AG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JMMR37YOY5FXF235PHINXLG4KN}

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	2026-05-18T04:10:57.561669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b191dff0ec74b72eb7d79d0dbacdc535d4729b8c5a37a7333cf8d6b6e9b4ec9

Aliases

arxiv: 0709.3476 · arxiv_version: 0709.3476v4 · doi: 10.48550/arxiv.0709.3476 · pith_short_12: JMMR37YOY5FX · pith_short_16: JMMR37YOY5FXF235 · pith_short_8: JMMR37YO

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/JMMR37YOY5FXF235PHINXLG4KN \
  | 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: 4b191dff0ec74b72eb7d79d0dbacdc535d4729b8c5a37a7333cf8d6b6e9b4ec9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6220d9595c15b29346638bb3d6c9524ce8d70b6bd4e9e45e8e680c1519279ebf",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2007-09-21T16:50:15Z",
    "title_canon_sha256": "858bffe8b5529fe0f8d9fa609e76602f76690ef61f48fed75b747cd4df3dc641"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.3476",
    "kind": "arxiv",
    "version": 4
  }
}