Pith Number

pith:6Q5MTP5E

pith:2001:6Q5MTP5EA2TPGNQ5JYKZQIGSTG

not attested not anchored not stored refs pending

Jacobians of singularized spectral curves and completely integrable systems

Lubomir Gavrilov

arxiv:math/0111235 v2 · 2001-11-21 · math.AG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6Q5MTP5EA2TPGNQ5JYKZQIGSTG}

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	2026-05-18T04:25:28.994140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f43ac9bfa406a6f3361d4e159820d299889cd3b9b4b1ac688f08bad34d9eac7e

Aliases

arxiv: math/0111235 · arxiv_version: math/0111235v2 · doi: 10.48550/arxiv.math/0111235 · pith_short_12: 6Q5MTP5EA2TP · pith_short_16: 6Q5MTP5EA2TPGNQ5 · pith_short_8: 6Q5MTP5E

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/6Q5MTP5EA2TPGNQ5JYKZQIGSTG \
  | 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: f43ac9bfa406a6f3361d4e159820d299889cd3b9b4b1ac688f08bad34d9eac7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43f8cedf5c647ae74088e8567cd7ba6402bedc421fd3847fa1956ab3fa2bfd7b",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2001-11-21T13:45:28Z",
    "title_canon_sha256": "92dd085a3d37ca36f2cb02cd7cb57d7d42f2a6683ee1ea1767e73b13d6e10317"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0111235",
    "kind": "arxiv",
    "version": 2
  }
}