Pith Number

pith:QKBWTGPP

pith:2009:QKBWTGPP6RPSL3I44DXU63VOSQ

not attested not anchored not stored refs pending

Symplectic Categories

Alan Weinstein

arxiv:0911.4133 v1 · 2009-11-20 · math.SG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QKBWTGPP6RPSL3I44DXU63VOSQ}

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	2026-07-04T17:16:28.590310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82836999eff45f25ed1ce0ef4f6eae9429650cb2233206909c2314284aae2e1c

Aliases

arxiv: 0911.4133 · arxiv_version: 0911.4133v1 · doi: 10.48550/arxiv.0911.4133 · pith_short_12: QKBWTGPP6RPS · pith_short_16: QKBWTGPP6RPSL3I4 · pith_short_8: QKBWTGPP

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/QKBWTGPP6RPSL3I44DXU63VOSQ \
  | 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: 82836999eff45f25ed1ce0ef4f6eae9429650cb2233206909c2314284aae2e1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "387e27e0fd04c7fac852b5b306d935534881537b4a1982218c5ff7ea27d3f4bf",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2009-11-20T21:26:59Z",
    "title_canon_sha256": "d6ebad4f9e92882f5cffdcc2faa5504a567cf6527a0f72a6119cd3602bf51814"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.4133",
    "kind": "arxiv",
    "version": 1
  }
}