Pith Number

pith:TCWCGW2R

pith:2011:TCWCGW2RY3XQZU6MAEO3BDSZYW

not attested not anchored not stored refs pending

Partitioning in the space of antimonotonic functions

Patrick De Causmaecker, Stefan De Wannemacker

arxiv:1103.2877 v1 · 2011-03-15 · math.NT · 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{TCWCGW2RY3XQZU6MAEO3BDSZYW}

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	2026-05-18T04:26:46.340803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98ac235b51c6ef0cd3cc011db08e59c5bd6afa893c89e3ac85dc4e2bf544de04

Aliases

arxiv: 1103.2877 · arxiv_version: 1103.2877v1 · doi: 10.48550/arxiv.1103.2877 · pith_short_12: TCWCGW2RY3XQ · pith_short_16: TCWCGW2RY3XQZU6M · pith_short_8: TCWCGW2R

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/TCWCGW2RY3XQZU6MAEO3BDSZYW \
  | 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: 98ac235b51c6ef0cd3cc011db08e59c5bd6afa893c89e3ac85dc4e2bf544de04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5f517773af9b849969e0a68bf672cccf690ccb0a59a3f5ce29bb19ba96eca68",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-03-15T10:50:30Z",
    "title_canon_sha256": "41ba122c72798afe45a9bbc11b1113975b1669bb30f047fce2872a83333863d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2877",
    "kind": "arxiv",
    "version": 1
  }
}