Pith Number

pith:ZYPR47QM

pith:2015:ZYPR47QMXR35C3NFPNYTBBEW2R

not attested not anchored not stored refs pending

On flow polytopes, order polytopes, and certain faces of the alternating sign matrix polytope

Alejandro H. Morales, Jessica Striker, Karola M\'esz\'aros

arxiv:1510.03357 v2 · 2015-10-12 · 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{ZYPR47QMXR35C3NFPNYTBBEW2R}

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	2026-05-17T23:56:21.197757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce1f1e7e0cbc77d16da57b71308496d470371cf11e708db5bcc6664ef0e5ac45

Aliases

arxiv: 1510.03357 · arxiv_version: 1510.03357v2 · doi: 10.48550/arxiv.1510.03357 · pith_short_12: ZYPR47QMXR35 · pith_short_16: ZYPR47QMXR35C3NF · pith_short_8: ZYPR47QM

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/ZYPR47QMXR35C3NFPNYTBBEW2R \
  | 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: ce1f1e7e0cbc77d16da57b71308496d470371cf11e708db5bcc6664ef0e5ac45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d38a37629ad4c62efb3abb264026afe1eec200de2bacd8c04d4957cb29fb5380",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-12T16:29:04Z",
    "title_canon_sha256": "afa580ed362eb762fd00dcc97bc4fdff9042143e073f13c38ac484e5c994e6f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03357",
    "kind": "arxiv",
    "version": 2
  }
}