Pith Number

pith:ANC3BK7P

pith:2006:ANC3BK7PUW3UOM5IBZ7JGN5B3Z

not attested not anchored not stored refs pending

On a comparison of minimal log discrepancies in terms of motivic integration

Masayuki Kawakita

arxiv:math/0608512 v2 · 2006-08-21 · 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{ANC3BK7PUW3UOM5IBZ7JGN5B3Z}

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	2026-07-04T14:56:08.134399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0345b0abefa5b74733a80e7e9337a1de670216e5dbe6e5aff52da6e5137961d7

Aliases

arxiv: math/0608512 · arxiv_version: math/0608512v2 · doi: 10.48550/arxiv.math/0608512 · pith_short_12: ANC3BK7PUW3U · pith_short_16: ANC3BK7PUW3UOM5I · pith_short_8: ANC3BK7P

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/ANC3BK7PUW3UOM5IBZ7JGN5B3Z \
  | 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: 0345b0abefa5b74733a80e7e9337a1de670216e5dbe6e5aff52da6e5137961d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35031aa818a5fb915be33083ac532b8b0ea1381856a1b5750c771e6d35247c80",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2006-08-21T07:50:02Z",
    "title_canon_sha256": "54e83ee59415940ccab7952bbd670bb56f4cd69810c88d9457ce9a4352e7c92c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0608512",
    "kind": "arxiv",
    "version": 2
  }
}