Pith Number

pith:AHMHKGY6

pith:2018:AHMHKGY6F2W5QEJVM43GRTFOAI

not attested not anchored not stored refs pending

A principle for converting Lindstr\"om-type lemmas to Stembridge-type theorems, with applications to walks, groves, and alternating flows

Owen Biesel

arxiv:1805.10239 v1 · 2018-05-25 · 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{AHMHKGY6F2W5QEJVM43GRTFOAI}

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	2026-05-18T00:14:57.891476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01d8751b1e2eadd81135673668ccae02241c754464ddea2aea409cb227f81a89

Aliases

arxiv: 1805.10239 · arxiv_version: 1805.10239v1 · doi: 10.48550/arxiv.1805.10239 · pith_short_12: AHMHKGY6F2W5 · pith_short_16: AHMHKGY6F2W5QEJV · pith_short_8: AHMHKGY6

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/AHMHKGY6F2W5QEJVM43GRTFOAI \
  | 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: 01d8751b1e2eadd81135673668ccae02241c754464ddea2aea409cb227f81a89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3fbf27016dd6d21e2eb02141ab41b1442166a336470fef9d0ac282e65560e72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-05-25T16:33:53Z",
    "title_canon_sha256": "cb73ca09388ea4cb80ddd035299cde681cd8d4cfb0ebc274c4a4442709495b44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.10239",
    "kind": "arxiv",
    "version": 1
  }
}