Pith Number

pith:EPTOYLKE

pith:2017:EPTOYLKE2JQHWWXX2YI4N5Z3O6

not attested not anchored not stored refs pending

Differential operators and contravariant derivatives in Poisson geometry

Yuji Hirota

arxiv:1703.06287 v1 · 2017-03-18 · 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{EPTOYLKE2JQHWWXX2YI4N5Z3O6}

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	2026-05-18T00:48:23.372760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23e6ec2d44d2607b5af7d611c6f73b77a98f1a22394b45bdfb001a351ffb94ba

Aliases

arxiv: 1703.06287 · arxiv_version: 1703.06287v1 · doi: 10.48550/arxiv.1703.06287 · pith_short_12: EPTOYLKE2JQH · pith_short_16: EPTOYLKE2JQHWWXX · pith_short_8: EPTOYLKE

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/EPTOYLKE2JQHWWXX2YI4N5Z3O6 \
  | 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: 23e6ec2d44d2607b5af7d611c6f73b77a98f1a22394b45bdfb001a351ffb94ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3a38b3bfccd507f66ba45d1e0f1c9bb46d90b140eff60c554b340fadb7f7c17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2017-03-18T11:46:50Z",
    "title_canon_sha256": "00c2b150c1b974733a0e978f16b45633f76f39549c14d8ea6f95801fc368437e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.06287",
    "kind": "arxiv",
    "version": 1
  }
}