Pith Number

pith:JDSIODSP

pith:2012:JDSIODSPPZDFATRT2TCWHRBB7P

not attested not anchored not stored refs pending

Boolean Differential Operators

Jorge Catumba, Rafael Diaz

arxiv:1210.7842 v2 · 2012-10-29 · math.CO · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JDSIODSPPZDFATRT2TCWHRBB7P}

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	2026-05-18T02:52:23.738128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48e4870e4f7e46504e33d4c563c421fbf9f2ea952fa68d479d89e632ab3724dc

Aliases

arxiv: 1210.7842 · arxiv_version: 1210.7842v2 · doi: 10.48550/arxiv.1210.7842 · pith_short_12: JDSIODSPPZDF · pith_short_16: JDSIODSPPZDFATRT · pith_short_8: JDSIODSP

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/JDSIODSPPZDFATRT2TCWHRBB7P \
  | 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: 48e4870e4f7e46504e33d4c563c421fbf9f2ea952fa68d479d89e632ab3724dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "debeaeac6178e3396f4cdac4520fcb678f6d6dabcc15b703dc27505a21892b89",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-29T21:10:07Z",
    "title_canon_sha256": "418ab33ffd17e4e61176985762d0bc13d033cc073b045c5a29036e27e6fed1fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7842",
    "kind": "arxiv",
    "version": 2
  }
}