Pith Number

pith:X3VQ7EDG

pith:2008:X3VQ7EDGDVP7IBEYZPWCAFD6PK

not attested not anchored not stored refs pending

Quantum Witten localization and abelianization for qde solutions

Chris Woodward, Eduardo Gonzalez

arxiv:0811.3358 v6 · 2008-11-20 · math.SG · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X3VQ7EDGDVP7IBEYZPWCAFD6PK}

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	2026-05-18T01:09:39.686483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

beeb0f90661d5ff40498cbec20147e7a9f711963294e7e316da72af504e7a83c

Aliases

arxiv: 0811.3358 · arxiv_version: 0811.3358v6 · doi: 10.48550/arxiv.0811.3358 · pith_short_12: X3VQ7EDGDVP7 · pith_short_16: X3VQ7EDGDVP7IBEY · pith_short_8: X3VQ7EDG

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/X3VQ7EDGDVP7IBEYZPWCAFD6PK \
  | 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: beeb0f90661d5ff40498cbec20147e7a9f711963294e7e316da72af504e7a83c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a0e1a9bfd87ca8244adee0323dd4de5b8b6640c6634dbe17037b3b9902de719",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2008-11-20T16:11:18Z",
    "title_canon_sha256": "aeef3c6b3b4bcf196137addaa0976d22d7ae5b5c1e715fbfb9849309b22e0ff4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.3358",
    "kind": "arxiv",
    "version": 6
  }
}