Pith Number

pith:XQRWOVVR

pith:2006:XQRWOVVRYG2ASCVOHTNHVS4DZ4

not attested not anchored not stored refs pending

Orbits on Lagrangian Grassmanian

Hongyu He

arxiv:math/0608306 v4 · 2006-08-12 · math.GR · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XQRWOVVRYG2ASCVOHTNHVS4DZ4}

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	2026-05-18T01:33:24.793400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc236756b1c1b4090aae3cda7acb83cf0ab89f17d739f3aa9b08db1081dcae8a

Aliases

arxiv: math/0608306 · arxiv_version: math/0608306v4 · doi: 10.48550/arxiv.math/0608306 · pith_short_12: XQRWOVVRYG2A · pith_short_16: XQRWOVVRYG2ASCVO · pith_short_8: XQRWOVVR

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/XQRWOVVRYG2ASCVOHTNHVS4DZ4 \
  | 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: bc236756b1c1b4090aae3cda7acb83cf0ab89f17d739f3aa9b08db1081dcae8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15297938abf6f399882722c9afc12f0082c64642d2f02a922bd17f3ee84b9e2c",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2006-08-12T23:01:27Z",
    "title_canon_sha256": "a5860f7aa1750b20ea01b0ba28dfe1663ada8eba8f998053f6c83e0328560810"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0608306",
    "kind": "arxiv",
    "version": 4
  }
}