Pith Number

pith:4L5SJ3FA

pith:2016:4L5SJ3FAT2FDOMVZ6WNJJRSSHU

not attested not anchored not stored refs pending

The local $h$-polynomial of the edgewise subdivision of the simplex

Christos A. Athanasiadis

arxiv:1609.06646 v1 · 2016-09-21 · 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{4L5SJ3FAT2FDOMVZ6WNJJRSSHU}

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	2026-05-18T01:04:06.297861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2fb24eca09e8a3732b9f59a94c6523d2d73798f1bba628f184081dfc3f62cc6

Aliases

arxiv: 1609.06646 · arxiv_version: 1609.06646v1 · doi: 10.48550/arxiv.1609.06646 · pith_short_12: 4L5SJ3FAT2FD · pith_short_16: 4L5SJ3FAT2FDOMVZ · pith_short_8: 4L5SJ3FA

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/4L5SJ3FAT2FDOMVZ6WNJJRSSHU \
  | 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: e2fb24eca09e8a3732b9f59a94c6523d2d73798f1bba628f184081dfc3f62cc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6868bc321a34eb9e332f38b18a6275ae4afc956ea47a2a9c090b4605954c2b31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-21T17:28:10Z",
    "title_canon_sha256": "c017201a6872aed859a5a46278fbd550bdae9f4aaef4434860df8fc28f2a80ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06646",
    "kind": "arxiv",
    "version": 1
  }
}