Pith Number

pith:VZAQTLDT

pith:2015:VZAQTLDTDBEXG3PXPDS2WKNYFB

not attested not anchored not stored refs pending

Minimal Length Maximal Green Sequences and Triangulations of Polygons

Emily Cormier, Jill Resh, John Whelan, Khrystyna Serhiyenko, Peter Dillery

arxiv:1508.02954 v1 · 2015-08-12 · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VZAQTLDTDBEXG3PXPDS2WKNYFB}

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	2026-05-18T01:35:23.352920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae4109ac731849736df778e5ab29b8287a40fce418a99588c50d3b8a502d1750

Aliases

arxiv: 1508.02954 · arxiv_version: 1508.02954v1 · doi: 10.48550/arxiv.1508.02954 · pith_short_12: VZAQTLDTDBEX · pith_short_16: VZAQTLDTDBEXG3PX · pith_short_8: VZAQTLDT

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/VZAQTLDTDBEXG3PXPDS2WKNYFB \
  | 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: ae4109ac731849736df778e5ab29b8287a40fce418a99588c50d3b8a502d1750

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fe884233a01c820499d4d28f1317bfefc0d397027c57bb7aefb89321acf3f45",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-12T15:33:21Z",
    "title_canon_sha256": "1fae84b2afd104c811a325f14cc00d9c180b62d501dc145ebce51738cc1f3ecf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02954",
    "kind": "arxiv",
    "version": 1
  }
}