Pith Number

pith:FDG6M26D

pith:2016:FDG6M26DUYZYGIFMDLBVNCNL7U

not attested not anchored not stored refs pending

Bounds for entries of $\gamma$-vectors of flag homology spheres

Eran Nevo, Jean-Philippe Labb\'e

arxiv:1612.01169 v2 · 2016-12-04 · math.CO · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FDG6M26DUYZYGIFMDLBVNCNL7U}

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	2026-05-18T00:47:20.201741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28cde66bc3a6338320ac1ac35689abfd0b3aef985dee589a974254e5b28cb5d6

Aliases

arxiv: 1612.01169 · arxiv_version: 1612.01169v2 · doi: 10.48550/arxiv.1612.01169 · pith_short_12: FDG6M26DUYZY · pith_short_16: FDG6M26DUYZYGIFM · pith_short_8: FDG6M26D

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/FDG6M26DUYZYGIFMDLBVNCNL7U \
  | 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: 28cde66bc3a6338320ac1ac35689abfd0b3aef985dee589a974254e5b28cb5d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ef32769a36eeec94fa51c3c6ce22e67f2af42db0ff20010e14c6a43752ea781",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-04T19:07:36Z",
    "title_canon_sha256": "afcf991b15b06ea5f5fb069454dc291fe93ebeda70108ceb9d2b0bc2bc1613ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01169",
    "kind": "arxiv",
    "version": 2
  }
}