Pith Number

pith:UU54RRZK

pith:2007:UU54RRZKVWY4NE2L3S5YDMTMTD

not attested not anchored not stored refs pending

Resolution of null fiber and conormal bundles on the Lagrangian Grassmannian

Kyo Nishiyama

arxiv:math/0701764 v2 · 2007-01-26 · math.RT · 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{UU54RRZKVWY4NE2L3S5YDMTMTD}

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	2026-05-18T04:33:16.552018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a53bc8c72aadb1c6934bdcbb81b26c98cf07347828f5e354cdaa02b0522e08e3

Aliases

arxiv: math/0701764 · arxiv_version: math/0701764v2 · doi: 10.48550/arxiv.math/0701764 · pith_short_12: UU54RRZKVWY4 · pith_short_16: UU54RRZKVWY4NE2L · pith_short_8: UU54RRZK

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/UU54RRZKVWY4NE2L3S5YDMTMTD \
  | 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: a53bc8c72aadb1c6934bdcbb81b26c98cf07347828f5e354cdaa02b0522e08e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f298b00512af163fed73fc349b5914cd0fea0333c4797316526232800a8383cb",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2007-01-26T04:16:50Z",
    "title_canon_sha256": "b428a6af403872b31022d3e5b87b9ee6524033dce02a2363df88d1e7c50ecadf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701764",
    "kind": "arxiv",
    "version": 2
  }
}