Pith Number

pith:2G4RIYOF

pith:2016:2G4RIYOFTKZ7SHSR7MWJXQED6A

not attested not anchored not stored refs pending

On local invariants of singular symplectic forms

Wojciech Domitrz

arxiv:1609.03033 v2 · 2016-09-10 · 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{2G4RIYOFTKZ7SHSR7MWJXQED6A}

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	2026-05-18T00:49:15.734082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1b91461c59ab3f91e51fb2c9bc083f03a946967d070cd58b6f62d1e0532902e

Aliases

arxiv: 1609.03033 · arxiv_version: 1609.03033v2 · doi: 10.48550/arxiv.1609.03033 · pith_short_12: 2G4RIYOFTKZ7 · pith_short_16: 2G4RIYOFTKZ7SHSR · pith_short_8: 2G4RIYOF

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/2G4RIYOFTKZ7SHSR7MWJXQED6A \
  | 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: d1b91461c59ab3f91e51fb2c9bc083f03a946967d070cd58b6f62d1e0532902e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0f7bcb61aba0238b5142fca25b5ebdf8b9bcfe1ee3cbe9755f5185590e74ef7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-09-10T11:48:03Z",
    "title_canon_sha256": "8a4c4b230a00ae2a929c9812ece4032c380e769c8afc0b85ace4a4181dc1d0a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03033",
    "kind": "arxiv",
    "version": 2
  }
}