Pith Number

pith:6VUCHPLE

pith:2007:6VUCHPLEYWA22IRYHE3DYOUNTT

not attested not anchored not stored refs pending

Q-manifolds and Mackenzie theory: an overview

Theodore Voronov

arxiv:0709.4232 v1 · 2007-09-26 · math.DG · math-ph · math.MP · 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{6VUCHPLEYWA22IRYHE3DYOUNTT}

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	2026-07-04T15:04:31.061112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f56823bd64c581ad223839363c3a8d9cd09834595bff8580094477801f28faf1

Aliases

arxiv: 0709.4232 · arxiv_version: 0709.4232v1 · doi: 10.48550/arxiv.0709.4232 · pith_short_12: 6VUCHPLEYWA2 · pith_short_16: 6VUCHPLEYWA22IRY · pith_short_8: 6VUCHPLE

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/6VUCHPLEYWA22IRYHE3DYOUNTT \
  | 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: f56823bd64c581ad223839363c3a8d9cd09834595bff8580094477801f28faf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "befaae49b909a5d857186e98045ff46e39ebf956c0c277b5db9c536f57ff9152",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2007-09-26T18:30:49Z",
    "title_canon_sha256": "e25eb4fc74bf7308328992b4953ab799a0fc3092174b572a870b974e0add8730"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.4232",
    "kind": "arxiv",
    "version": 1
  }
}