Pith Number

pith:O2A7MSN4

pith:2010:O2A7MSN4KTCG5OPCNW2YMDUAHG

not attested not anchored not stored refs pending

Bounded symplectic diffeomorphisms and split flux groups

Andr\'es Pedroza, Carlos Campos-Apanco

arxiv:1005.5722 v2 · 2010-05-31 · math.SG · 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{O2A7MSN4KTCG5OPCNW2YMDUAHG}

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	2026-05-18T04:25:13.264199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7681f649bc54c46eb9e26db5860e8039b14d908f87fa5fd75a4a159e7ba14d77

Aliases

arxiv: 1005.5722 · arxiv_version: 1005.5722v2 · doi: 10.48550/arxiv.1005.5722 · pith_short_12: O2A7MSN4KTCG · pith_short_16: O2A7MSN4KTCG5OPC · pith_short_8: O2A7MSN4

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/O2A7MSN4KTCG5OPCNW2YMDUAHG \
  | 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: 7681f649bc54c46eb9e26db5860e8039b14d908f87fa5fd75a4a159e7ba14d77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1b394836e0d7e896362026b94ac777928384deb283b3c72d585586a6157789f",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.SG",
    "submitted_at": "2010-05-31T18:55:33Z",
    "title_canon_sha256": "deafb8e4ec97b8a758ad7de695f3a713705cf7a3388b32fd15764540f7c621bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.5722",
    "kind": "arxiv",
    "version": 2
  }
}