Pith Number

pith:MMM27TSR

pith:2018:MMM27TSR5VYWZ7Z7GPH7ACJMC7

not attested not anchored not stored refs pending

Paths to Understanding Birational Rowmotion on Products of Two Chains

Gregg Musiker, Tom Roby

arxiv:1801.03877 v3 · 2018-01-11 · 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{MMM27TSR5VYWZ7Z7GPH7ACJMC7}

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	2026-05-18T00:08:29.623027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6319afce51ed716cff3f33cff0092c17e5fa68dcb48e39a68530f0d6686badcd

Aliases

arxiv: 1801.03877 · arxiv_version: 1801.03877v3 · doi: 10.48550/arxiv.1801.03877 · pith_short_12: MMM27TSR5VYW · pith_short_16: MMM27TSR5VYWZ7Z7 · pith_short_8: MMM27TSR

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/MMM27TSR5VYWZ7Z7GPH7ACJMC7 \
  | 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: 6319afce51ed716cff3f33cff0092c17e5fa68dcb48e39a68530f0d6686badcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca6d51b8798f3b39ea7503ce89bdb5cf5fc4c49fddeefa4c8ed4062457b46538",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-01-11T17:12:39Z",
    "title_canon_sha256": "016bdae99eca8e651fbcc46dbb53f532f533932a8fb0e785551040541a4d152f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.03877",
    "kind": "arxiv",
    "version": 3
  }
}