Pith Number

pith:HYJP4FKP

pith:2018:HYJP4FKPDFKSHWV2G622PPZRYL

not attested not anchored not stored refs pending

Ising model and the positive orthogonal Grassmannian

Pavel Galashin, Pavlo Pylyavskyy

arxiv:1807.03282 v4 · 2018-07-09 · math-ph · math.CO · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HYJP4FKPDFKSHWV2G622PPZRYL}

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.

Cited by

1 paper in Pith

Vector-relation configurations and plabic graphs

Receipt and verification

First computed	2026-07-05T01:59:49.641285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e12fe154f195523daba37b5a7bf31c2f6125c75ef8a32f655c9cbe4ed5447cf

Aliases

arxiv: 1807.03282 · arxiv_version: 1807.03282v4 · doi: 10.48550/arxiv.1807.03282 · pith_short_12: HYJP4FKPDFKS · pith_short_16: HYJP4FKPDFKSHWV2 · pith_short_8: HYJP4FKP

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/HYJP4FKPDFKSHWV2G622PPZRYL \
  | 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: 3e12fe154f195523daba37b5a7bf31c2f6125c75ef8a32f655c9cbe4ed5447cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28030f6d14b1cbecb95b5e59511676a9613f09def2c8a8d62cce953f0d7b7abd",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-07-09T17:33:32Z",
    "title_canon_sha256": "0d8e0b753f78de67b5ab5149c4c043fd0427959eeb718698d6154dc975a7831e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.03282",
    "kind": "arxiv",
    "version": 4
  }
}