Pith Number

pith:YVQ4RVRT

pith:2015:YVQ4RVRTJBYJO2NN7WPWXZQVKH

not attested not anchored not stored refs pending

(Co)isotropic Pairs in Poisson and Presymplectic Vector Spaces

Alan Weinstein, Jonathan Lorand

arxiv:1503.00169 v2 · 2015-02-28 · 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{YVQ4RVRTJBYJO2NN7WPWXZQVKH}

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	2026-05-18T01:33:32.281850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c561c8d63348709769adfd9f6be61551f4a595e83b036ec5816bbad59554c2d3

Aliases

arxiv: 1503.00169 · arxiv_version: 1503.00169v2 · doi: 10.48550/arxiv.1503.00169 · pith_short_12: YVQ4RVRTJBYJ · pith_short_16: YVQ4RVRTJBYJO2NN · pith_short_8: YVQ4RVRT

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/YVQ4RVRTJBYJO2NN7WPWXZQVKH \
  | 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: c561c8d63348709769adfd9f6be61551f4a595e83b036ec5816bbad59554c2d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "957375ce3b2e24df273f035d7b55230f6c078cdbba6401051a884160ebbba4de",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-02-28T19:55:35Z",
    "title_canon_sha256": "90ff513ea1a74dfa4dab98338d72c1a86fe56dbc2e9ef4720811d947e7e079c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.00169",
    "kind": "arxiv",
    "version": 2
  }
}