Pith Number

pith:D66P4E2B

pith:2003:D66P4E2BQ4VKUCFZIDVBGK77TY

not attested not anchored not stored refs pending

Fredholm-Lagrangian-Grassmannian and the Maslov index

Kenro Furutani

arxiv:math/0311495 v1 · 2003-11-27 · math.DG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D66P4E2BQ4VKUCFZIDVBGK77TY}

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	2026-05-18T01:38:28.692786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fbcfe1341872aaa08b940ea132bff9e15eb4e843a1e6513719de39349a4ed85

Aliases

arxiv: math/0311495 · arxiv_version: math/0311495v1 · doi: 10.48550/arxiv.math/0311495 · pith_short_12: D66P4E2BQ4VK · pith_short_16: D66P4E2BQ4VKUCFZ · pith_short_8: D66P4E2B

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/D66P4E2BQ4VKUCFZIDVBGK77TY \
  | 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: 1fbcfe1341872aaa08b940ea132bff9e15eb4e843a1e6513719de39349a4ed85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b780a714353aea17de71e0a570ca1847e46271e8ba516e47fd108dbc1095f90",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2003-11-27T03:01:11Z",
    "title_canon_sha256": "43597352056409138687f35a1587dcdd4ae2c89c765afc10a61b4d9c922766e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0311495",
    "kind": "arxiv",
    "version": 1
  }
}