Pith Number

pith:O7CK67UQ

pith:2005:O7CK67UQMRPDLPPS6JV376HN4B

not attested not anchored not stored refs pending

An infinitesimal-birational duality through differential operators

Tomasz Maszczyk

arxiv:math/0511720 v1 · 2005-11-30 · math.AG · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O7CK67UQMRPDLPPS6JV376HN4B}

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	2026-07-04T14:51:45.585192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77c4af7e90645e35bdf2f26bbff8ede0731307e3dc6c474821dbbb2efeeeb40e

Aliases

arxiv: math/0511720 · arxiv_version: math/0511720v1 · doi: 10.48550/arxiv.math/0511720 · pith_short_12: O7CK67UQMRPD · pith_short_16: O7CK67UQMRPDLPPS · pith_short_8: O7CK67UQ

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/O7CK67UQMRPDLPPS6JV376HN4B \
  | 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: 77c4af7e90645e35bdf2f26bbff8ede0731307e3dc6c474821dbbb2efeeeb40e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96ad567b6f655ade3d2c50e3904ff0ae55e0885551f955cb69626117556eb0f3",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2005-11-30T20:57:32Z",
    "title_canon_sha256": "b42e0cb20a2bc7fe8a99025f5123174246011f9ec22b89895f343846fa63dee1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511720",
    "kind": "arxiv",
    "version": 1
  }
}