Pith Number

pith:W7I2C7BI

pith:2010:W7I2C7BIAQLA574ZXOVKVOWNJJ

not attested not anchored not stored refs pending

Crystals and total positivity on orientable surfaces

Pavlo Pylyavskyy, Thomas Lam

arxiv:1008.1949 v1 · 2010-08-11 · math.CO · math.QA · 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{W7I2C7BIAQLA574ZXOVKVOWNJJ}

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	2026-05-18T04:42:22.648658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7d1a17c2804160eff99bbaaaabacd4a652f46fc182fee426b66a257f8014474

Aliases

arxiv: 1008.1949 · arxiv_version: 1008.1949v1 · doi: 10.48550/arxiv.1008.1949 · pith_short_12: W7I2C7BIAQLA · pith_short_16: W7I2C7BIAQLA574Z · pith_short_8: W7I2C7BI

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/W7I2C7BIAQLA574ZXOVKVOWNJJ \
  | 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: b7d1a17c2804160eff99bbaaaabacd4a652f46fc182fee426b66a257f8014474

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad1e20268886ff940b859a70f1cb7ae72ed1c57aed2f8019b976cf9ae562c1d8",
    "cross_cats_sorted": [
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-08-11T16:11:30Z",
    "title_canon_sha256": "7fe8e258117ce512518a535ebd619cc039382e128f8bf7904d848a34e5fc9df2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1949",
    "kind": "arxiv",
    "version": 1
  }
}