Pith Number

pith:A67NPMOV

pith:2013:A67NPMOVT4PXKUQ52GSV6VQNAM

not attested not anchored not stored refs pending

Linear Symplectomorphisms as R-Lagrangian Subspaces

Brennan Langenbach, J. Chris Hellmann, Michael VanValkenburgh

arxiv:1308.6347 v2 · 2013-08-29 · 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{A67NPMOVT4PXKUQ52GSV6VQNAM}

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	2026-05-18T01:36:58.431974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07bed7b1d59f1f75521dd1a55f560d0314e01c47a757d58113331446f3c9ac60

Aliases

arxiv: 1308.6347 · arxiv_version: 1308.6347v2 · doi: 10.48550/arxiv.1308.6347 · pith_short_12: A67NPMOVT4PX · pith_short_16: A67NPMOVT4PXKUQ5 · pith_short_8: A67NPMOV

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/A67NPMOVT4PXKUQ52GSV6VQNAM \
  | 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: 07bed7b1d59f1f75521dd1a55f560d0314e01c47a757d58113331446f3c9ac60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8932edf65b4ec39b8d1ee7d7f3de4b61f10938ff4145ef2bc3d631d037c7c84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2013-08-29T02:48:29Z",
    "title_canon_sha256": "4562e5e64948372ffb6ebe084f2f32f8a344fd75b6aa683323b42c162c80658d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6347",
    "kind": "arxiv",
    "version": 2
  }
}