Pith Number

pith:PRSJZ3RR

pith:2012:PRSJZ3RR7XDFECAWLTGXE5Y27Y

not attested not anchored not stored refs pending

The Conley-Zehnder index for a path of symplectic matrices

Jean Gutt

arxiv:1201.3728 v2 · 2012-01-18 · math.DG · math.DS · 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{PRSJZ3RR7XDFECAWLTGXE5Y27Y}

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.

Cited by

1 paper in Pith

A Poincar\'e-Birkhoff Theorem for Asymptotically Unitary Hamiltonian Diffeomorphisms

Receipt and verification

First computed	2026-05-18T04:02:26.815791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c649cee31fdc65208165ccd72771afe12f61cd8d52b7938dda8deed24cbf435

Aliases

arxiv: 1201.3728 · arxiv_version: 1201.3728v2 · doi: 10.48550/arxiv.1201.3728 · pith_short_12: PRSJZ3RR7XDF · pith_short_16: PRSJZ3RR7XDFECAW · pith_short_8: PRSJZ3RR

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/PRSJZ3RR7XDFECAWLTGXE5Y27Y \
  | 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: 7c649cee31fdc65208165ccd72771afe12f61cd8d52b7938dda8deed24cbf435

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a0d102447ae42b2abe2449b737b357df9d85c482b8f69a20bb81861f8a61754",
    "cross_cats_sorted": [
      "math.DS",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-01-18T09:17:43Z",
    "title_canon_sha256": "99b86808d0deb73bd64945c015b9ade58aeb1e37e9d96d27246ebf67e8efc0db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3728",
    "kind": "arxiv",
    "version": 2
  }
}