Pith Number

pith:LJM53CJV

pith:2009:LJM53CJVBXPWWCVFVNWG6VL3WH

not attested not anchored not stored refs pending

Springer fiber components in the two columns case for types A and D are normal

Evgeny Smirnov, Nicolas Perrin

arxiv:0907.0607 v2 · 2009-07-03 · 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{LJM53CJVBXPWWCVFVNWG6VL3WH}

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	2026-05-18T03:36:16.461174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a59dd89350ddf6b0aa5ab6c6f557bb1c7c4249547ef3982a2a614cc7c537e1c

Aliases

arxiv: 0907.0607 · arxiv_version: 0907.0607v2 · doi: 10.48550/arxiv.0907.0607 · pith_short_12: LJM53CJVBXPW · pith_short_16: LJM53CJVBXPWWCVF · pith_short_8: LJM53CJV

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/LJM53CJVBXPWWCVFVNWG6VL3WH \
  | 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: 5a59dd89350ddf6b0aa5ab6c6f557bb1c7c4249547ef3982a2a614cc7c537e1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f8bc105d792354d798d5c4d2c60b94eb5466dd3953dd580aa7f8082fc1c0683",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-07-03T12:12:39Z",
    "title_canon_sha256": "e3227d048a2955465de9f4229263d0a4c19557ad6b2aa999fdc407fd9a9903a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.0607",
    "kind": "arxiv",
    "version": 2
  }
}