Pith Number

pith:UK2LTUB2

pith:2009:UK2LTUB2KOELHSUN7W5XB6H7EO

not attested not anchored not stored refs pending

A complex analogue of Toda's Theorem

Saugata Basu

arxiv:0912.2652 v7 · 2009-12-14 · math.AG · cs.CC · math.AT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UK2LTUB2KOELHSUN7W5XB6H7EO}

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	2026-05-18T04:11:06.176640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2b4b9d03a5388b3ca8dfdbb70f8ff23a57f53a0b01e7cd83e17411a191fa311

Aliases

arxiv: 0912.2652 · arxiv_version: 0912.2652v7 · doi: 10.48550/arxiv.0912.2652 · pith_short_12: UK2LTUB2KOEL · pith_short_16: UK2LTUB2KOELHSUN · pith_short_8: UK2LTUB2

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/UK2LTUB2KOELHSUN7W5XB6H7EO \
  | 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: a2b4b9d03a5388b3ca8dfdbb70f8ff23a57f53a0b01e7cd83e17411a191fa311

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dcd40cfc8d9e4b72a1182b24d8fd8da142ef28591a157096b2b449963ca7cd2",
    "cross_cats_sorted": [
      "cs.CC",
      "math.AT",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-12-14T14:50:38Z",
    "title_canon_sha256": "c4fbd0466fe9584919784bdc73eabe7863a26e7fd721902f724431cad5d86bd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2652",
    "kind": "arxiv",
    "version": 7
  }
}