Pith Number

pith:4663I3WD

pith:2010:4663I3WDI3GXV2VV7PGVHLRZBH

not attested not anchored not stored refs pending

Extension results for boolean maps and a class of systems of linear inequalities

Cinzia Bisi, Giampiero Chiaselotti

arxiv:1012.5486 v1 · 2010-12-25 · math.CO · cs.DM · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4663I3WDI3GXV2VV7PGVHLRZBH}

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	2026-05-18T04:32:23.293120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7bdb46ec346cd7aeab5fbcd53ae3909e79d00567c9ee680243597d392f9dd72

Aliases

arxiv: 1012.5486 · arxiv_version: 1012.5486v1 · doi: 10.48550/arxiv.1012.5486 · pith_short_12: 4663I3WDI3GX · pith_short_16: 4663I3WDI3GXV2VV · pith_short_8: 4663I3WD

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/4663I3WDI3GXV2VV7PGVHLRZBH \
  | 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: e7bdb46ec346cd7aeab5fbcd53ae3909e79d00567c9ee680243597d392f9dd72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aec617c28a70a7df705d07046b775cc5791a80d0a95018a7833405449c132d7c",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.FL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-12-25T17:18:32Z",
    "title_canon_sha256": "2a642fb30604fb35362ab122bb71bd8ec26742cfd9435941ab82b9855716767f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5486",
    "kind": "arxiv",
    "version": 1
  }
}