Pith Number

pith:OSMIK4GJ

pith:2014:OSMIK4GJ7EIN7DB3FMDC4SSLH2

not attested not anchored not stored refs pending

Log-Concavity of Combinations of Sequences and Applications to Genus Distributions

David G.L. Wang, Jonathan L. Gross, Thomas W. Tucker, Toufik Mansour

arxiv:1407.6325 v1 · 2014-07-23 · 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{OSMIK4GJ7EIN7DB3FMDC4SSLH2}

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	2026-05-18T02:46:39.828144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74988570c9f910df8c3b2b062e4a4b3ea15fb4e94373a5fa8dad4c078cba5f3f

Aliases

arxiv: 1407.6325 · arxiv_version: 1407.6325v1 · doi: 10.48550/arxiv.1407.6325 · pith_short_12: OSMIK4GJ7EIN · pith_short_16: OSMIK4GJ7EIN7DB3 · pith_short_8: OSMIK4GJ

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/OSMIK4GJ7EIN7DB3FMDC4SSLH2 \
  | 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: 74988570c9f910df8c3b2b062e4a4b3ea15fb4e94373a5fa8dad4c078cba5f3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdb7f556010036accdf668f0e14822a038d6120528c28bb88b4d39f8871a2b63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-07-23T18:28:49Z",
    "title_canon_sha256": "aa55e7f6d2fe84b62df5f7c8b533425f8cd7681791ffda07f3d03f6eb06ce7a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.6325",
    "kind": "arxiv",
    "version": 1
  }
}