Pith Number

pith:TZO6N2PN

pith:2006:TZO6N2PNUMS3ZGRKXVBZYCS4AY

not attested not anchored not stored refs pending

Logarithmic vector fields and multiplication table

Susumu Tanab\'e

arxiv:math/0602301 v2 · 2006-02-14 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TZO6N2PNUMS3ZGRKXVBZYCS4AY}

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	2026-05-18T01:05:22.780917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e5de6e9eda325bc9a2abd439c0a5c0636ce673a4792c626615a5f0696d3a012

Aliases

arxiv: math/0602301 · arxiv_version: math/0602301v2 · doi: 10.48550/arxiv.math/0602301 · pith_short_12: TZO6N2PNUMS3 · pith_short_16: TZO6N2PNUMS3ZGRK · pith_short_8: TZO6N2PN

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/TZO6N2PNUMS3ZGRKXVBZYCS4AY \
  | 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: 9e5de6e9eda325bc9a2abd439c0a5c0636ce673a4792c626615a5f0696d3a012

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "727b48f80b5555c93f6b29d3535f35a781ab54207cc139d6f534bb33378280c0",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2006-02-14T14:23:58Z",
    "title_canon_sha256": "d13f5157b73f50561f397c6508bf42982fd0e61df2f3191aed2b03a0d5302f60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0602301",
    "kind": "arxiv",
    "version": 2
  }
}