Pith Number

pith:OOERBRV4

pith:2006:OOERBRV4VJWG6CFJWOTIHSYPGG

not attested not anchored not stored refs pending

A Takayama-type extension theorem

Dror Varolin

arxiv:math/0607323 v1 · 2006-07-13 · math.CV · 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{OOERBRV4VJWG6CFJWOTIHSYPGG}

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	2026-05-18T03:02:31.177645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

738910c6bcaa6c6f08a9b3a683cb0f318ba73380d715f51b941304da4240cb85

Aliases

arxiv: math/0607323 · arxiv_version: math/0607323v1 · doi: 10.48550/arxiv.math/0607323 · pith_short_12: OOERBRV4VJWG · pith_short_16: OOERBRV4VJWG6CFJ · pith_short_8: OOERBRV4

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/OOERBRV4VJWG6CFJWOTIHSYPGG \
  | 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: 738910c6bcaa6c6f08a9b3a683cb0f318ba73380d715f51b941304da4240cb85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26513935a8192a455f3a5ee3d367e7dbc063b63ca03660a95b943ee06ec044c9",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.CV",
    "submitted_at": "2006-07-13T19:25:23Z",
    "title_canon_sha256": "44f664c001782c779ebc5007f8208c82c534c62358a810ba93f26342833017c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607323",
    "kind": "arxiv",
    "version": 1
  }
}