Pith Number

pith:TX7TRE7R

pith:2015:TX7TRE7R72PL76ZDI6IQXPAKEJ

not attested not anchored not stored refs pending

On the existence of a Hofer type metric for Poisson manifolds

Tomasz Rybicki

arxiv:1507.04736 v3 · 2015-07-16 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TX7TRE7R72PL76ZDI6IQXPAKEJ}

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	2026-05-18T01:12:40.540385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dff3893f1fe9ebffb2347910bbc0a225d9a767623df92f4658de64d81a7ebe3

Aliases

arxiv: 1507.04736 · arxiv_version: 1507.04736v3 · doi: 10.48550/arxiv.1507.04736 · pith_short_12: TX7TRE7R72PL · pith_short_16: TX7TRE7R72PL76ZD · pith_short_8: TX7TRE7R

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/TX7TRE7R72PL76ZDI6IQXPAKEJ \
  | 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: 9dff3893f1fe9ebffb2347910bbc0a225d9a767623df92f4658de64d81a7ebe3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d01a3cd583a4fab1af7f04f228a081a5c3a2b7137fdc61ad4db55f386b934581",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-07-16T19:53:42Z",
    "title_canon_sha256": "e3db9a28e80e9c1594ed0d7abd2e228eae848b03d7b6759417a38fd15d9d7478"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04736",
    "kind": "arxiv",
    "version": 3
  }
}