Pith Number

pith:IHGXYGKS

pith:2013:IHGXYGKS53OVFBMRIMGSHT7TTE

not attested not anchored not stored refs pending

Associative and commutative tree representations for Boolean functions

Antoine Genitrini, Bernhard Gittenberger, C\'ecile Mailler, Veronika Kraus

arxiv:1305.0651 v1 · 2013-05-03 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IHGXYGKS53OVFBMRIMGSHT7TTE}

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	2026-05-18T03:26:33.114641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41cd7c1952eedd528591430d23cff399083c57b5b2d13809e55f3c0db9dd1a5b

Aliases

arxiv: 1305.0651 · arxiv_version: 1305.0651v1 · doi: 10.48550/arxiv.1305.0651 · pith_short_12: IHGXYGKS53OV · pith_short_16: IHGXYGKS53OVFBMR · pith_short_8: IHGXYGKS

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/IHGXYGKS53OVFBMRIMGSHT7TTE \
  | 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: 41cd7c1952eedd528591430d23cff399083c57b5b2d13809e55f3c0db9dd1a5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d51978456a7a8485bb056f33393bfa1681c5e84de9578c8beba32076611da348",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-03T09:34:12Z",
    "title_canon_sha256": "fff5c68a93e925ff327583f68da15ca49766d67d2b255c3c5ff7aefc10bc224a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0651",
    "kind": "arxiv",
    "version": 1
  }
}