Pith Number

pith:QYODA44K

pith:2011:QYODA44KKJSLWPI2XIGQVHC23G

not attested not anchored not stored refs pending

Nonpolytopal nonsimplicial lattice spheres with nonnegative toric g-vector

Eran Nevo, Louis J. Billera

arxiv:1110.0739 v2 · 2011-10-04 · 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{QYODA44KKJSLWPI2XIGQVHC23G}

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	2026-05-18T03:50:22.028767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

861c30738a5264bb3d1aba0d0a9c5ad9a026d81c383144063342c3d98b2f67e8

Aliases

arxiv: 1110.0739 · arxiv_version: 1110.0739v2 · doi: 10.48550/arxiv.1110.0739 · pith_short_12: QYODA44KKJSL · pith_short_16: QYODA44KKJSLWPI2 · pith_short_8: QYODA44K

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/QYODA44KKJSLWPI2XIGQVHC23G \
  | 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: 861c30738a5264bb3d1aba0d0a9c5ad9a026d81c383144063342c3d98b2f67e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd55409e1ca448cf20a948df4a51794e6d5ceff36c1a12d33dd75d63959e5c6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-10-04T16:10:00Z",
    "title_canon_sha256": "ff367968705b1b474abd29f73a98cc200e75768c8e3709a053f60278286913f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0739",
    "kind": "arxiv",
    "version": 2
  }
}