Pith Number

pith:N4RD4E5P

pith:2012:N4RD4E5P7JSZAOR4IS56R56YFB

not attested not anchored not stored refs pending

On a conjecture by Kalai

Alexandru Constantinescu, Giulio Caviglia, Matteo Varbaro

arxiv:1212.3726 v1 · 2012-12-15 · math.AC · 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{N4RD4E5P7JSZAOR4IS56R56YFB}

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	2026-05-18T03:38:22.573924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f223e13affa65903a3c44bbe8f7d82875f4326151f8f3b94cf356e214e2af45

Aliases

arxiv: 1212.3726 · arxiv_version: 1212.3726v1 · doi: 10.48550/arxiv.1212.3726 · pith_short_12: N4RD4E5P7JSZ · pith_short_16: N4RD4E5P7JSZAOR4 · pith_short_8: N4RD4E5P

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/N4RD4E5P7JSZAOR4IS56R56YFB \
  | 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: 6f223e13affa65903a3c44bbe8f7d82875f4326151f8f3b94cf356e214e2af45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71ff1c81263b8e72dfd324debaf573e0491ae38ba29f508b5e635482612cc7f1",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-12-15T21:00:41Z",
    "title_canon_sha256": "39a9d1e289752063df4b56280a649bdcc89f675743e0210e729499ac7edd61a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3726",
    "kind": "arxiv",
    "version": 1
  }
}