Pith Number

pith:X3SJNEZS

pith:2014:X3SJNEZSKZW4CPULHOLACZAPFT

not attested not anchored not stored refs pending

Shellability, Ehrhart Theory, and $r$-stable Hypersimplices

Benjamin Braun, Liam Solus

arxiv:1408.4713 v3 · 2014-08-20 · 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{X3SJNEZSKZW4CPULHOLACZAPFT}

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	2026-05-18T01:19:00.608763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bee4969332566dc13e8b3b9601640f2cc525904fc3cab15249a259fabebf124c

Aliases

arxiv: 1408.4713 · arxiv_version: 1408.4713v3 · doi: 10.48550/arxiv.1408.4713 · pith_short_12: X3SJNEZSKZW4 · pith_short_16: X3SJNEZSKZW4CPUL · pith_short_8: X3SJNEZS

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/X3SJNEZSKZW4CPULHOLACZAPFT \
  | 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: bee4969332566dc13e8b3b9601640f2cc525904fc3cab15249a259fabebf124c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e33a64b9534ec02cbc0a7a5c0226fb407ba2de12b65a8d991a768bc99cebf30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-08-20T16:20:31Z",
    "title_canon_sha256": "cc56897dfd97efb54180e8e87a1e0d0629f30f7d1ba6ae3b02fcff717d6446d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4713",
    "kind": "arxiv",
    "version": 3
  }
}