Pith Number

pith:C32V4OGN

pith:2014:C32V4OGNMRI6NOR7SY5EW32OUC

not attested not anchored not stored refs pending

A marvellous embedding of the Lagrangian Grassmannian

Kevin Purbhoo

arxiv:1403.0984 v1 · 2014-03-05 · math.AG · 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{C32V4OGNMRI6NOR7SY5EW32OUC}

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	2026-05-18T02:57:05.972051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16f55e38cd6451e6ba3f963a4b6f4ea0a1f7567b29a4ffa7e5760b76c530d9e9

Aliases

arxiv: 1403.0984 · arxiv_version: 1403.0984v1 · doi: 10.48550/arxiv.1403.0984 · pith_short_12: C32V4OGNMRI6 · pith_short_16: C32V4OGNMRI6NOR7 · pith_short_8: C32V4OGN

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/C32V4OGNMRI6NOR7SY5EW32OUC \
  | 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: 16f55e38cd6451e6ba3f963a4b6f4ea0a1f7567b29a4ffa7e5760b76c530d9e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b698f9229fcfa5a61ae747557be0e5599833732379dcba5bea3752a3e8c51ee",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-03-05T01:41:24Z",
    "title_canon_sha256": "aa41c86a58172d4aa3627671d3a77ee7cc7fac936b0d7f650e9f108ec083c1a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.0984",
    "kind": "arxiv",
    "version": 1
  }
}