Pith Number

pith:I6ACW5NB

pith:2012:I6ACW5NBBEIEP4X2OXOOUGDOSO

not attested not anchored not stored refs pending

On the generalized lower bound conjecture for polytopes and spheres

Eran Nevo, Satoshi Murai

arxiv:1203.1720 v2 · 2012-03-08 · math.CO · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I6ACW5NBBEIEP4X2OXOOUGDOSO}

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	2026-05-18T03:58:36.561453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47802b75a1091047f2fa75dcea186e938813682141518a7250876eafef473372

Aliases

arxiv: 1203.1720 · arxiv_version: 1203.1720v2 · doi: 10.48550/arxiv.1203.1720 · pith_short_12: I6ACW5NBBEIE · pith_short_16: I6ACW5NBBEIEP4X2 · pith_short_8: I6ACW5NB

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/I6ACW5NBBEIEP4X2OXOOUGDOSO \
  | 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: 47802b75a1091047f2fa75dcea186e938813682141518a7250876eafef473372

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1e6effadac0c209108b7a1f382446a101f2a35ab461c2ffa9cd4d1c43a0475d",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-08T09:46:30Z",
    "title_canon_sha256": "5ffda075c30e22c25ffa3041bb90d7991cf6214008cd9323b5951ac6bfb41cc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1720",
    "kind": "arxiv",
    "version": 2
  }
}