Pith Number

pith:5AIUXNPU

pith:2013:5AIUXNPUIL6HGDVGQEJPO5RHKS

not attested not anchored not stored refs pending

The affine invariant of generalized semitoric systems

\'Alvaro Pelayo, San V\~u Ngoc, Tudor S. Ratiu

arxiv:1307.7516 v1 · 2013-07-29 · math.SG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5AIUXNPUIL6HGDVGQEJPO5RHKS}

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	2026-05-18T03:17:23.074187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8114bb5f442fc730ea68112f7762754a6d10b9bc384dde2aeea2e6fb972af9d

Aliases

arxiv: 1307.7516 · arxiv_version: 1307.7516v1 · doi: 10.48550/arxiv.1307.7516 · pith_short_12: 5AIUXNPUIL6H · pith_short_16: 5AIUXNPUIL6HGDVG · pith_short_8: 5AIUXNPU

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/5AIUXNPUIL6HGDVGQEJPO5RHKS \
  | 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: e8114bb5f442fc730ea68112f7762754a6d10b9bc384dde2aeea2e6fb972af9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "579cf30133b19a6762fb01b0ea537d95947606ea101479782ad23e29625750f5",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2013-07-29T09:47:34Z",
    "title_canon_sha256": "d3c31a9da3143911e7b78865d98b52fa413eaf2aa900d4bcc544e31ae1a7fb42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7516",
    "kind": "arxiv",
    "version": 1
  }
}