Pith Number

pith:IFNCDLVK

pith:2010:IFNCDLVKGWKEFVUDWW4OIOXHR6

not attested not anchored not stored refs pending

Deduction as Reduction

Dominique Duval (LJK)

arxiv:1011.1330 v1 · 2010-11-05 · cs.LO · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IFNCDLVKGWKEFVUDWW4OIOXHR6}

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	2026-05-18T04:36:48.971262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

415a21aeaa359442d683b5b8e43ae78f9abf6dae9725483a91fedf3a2dd7de0b

Aliases

arxiv: 1011.1330 · arxiv_version: 1011.1330v1 · doi: 10.48550/arxiv.1011.1330 · pith_short_12: IFNCDLVKGWKE · pith_short_16: IFNCDLVKGWKEFVUD · pith_short_8: IFNCDLVK

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/IFNCDLVKGWKEFVUDWW4OIOXHR6 \
  | 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: 415a21aeaa359442d683b5b8e43ae78f9abf6dae9725483a91fedf3a2dd7de0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63920091a8c9261571a935079778c8f314b4f6afbf8e04d94b548e1f63f68a82",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2010-11-05T06:20:05Z",
    "title_canon_sha256": "2dbe6248ac5110b54757c66ed29c3e71c340020e2071ef0ed0b3fd7bd4fbb0c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1330",
    "kind": "arxiv",
    "version": 1
  }
}