Pith Number

pith:PMKDLPFC

pith:2012:PMKDLPFCPJFAAZU5KRYTZJTPWG

not attested not anchored not stored refs pending

Proof of the Witten-Yau Conjecture

Charles H.-T. Wang, James A. Reid

arxiv:1208.2565 v2 · 2012-08-13 · math-ph · hep-th · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PMKDLPFCPJFAAZU5KRYTZJTPWG}

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	2026-05-18T03:40:25.352973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b1435bca27a4a00669d54713ca66fb19dd48d0f6276ff8f186ce2957aa0de4c

Aliases

arxiv: 1208.2565 · arxiv_version: 1208.2565v2 · doi: 10.48550/arxiv.1208.2565 · pith_short_12: PMKDLPFCPJFA · pith_short_16: PMKDLPFCPJFAAZU5 · pith_short_8: PMKDLPFC

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/PMKDLPFCPJFAAZU5KRYTZJTPWG \
  | 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: 7b1435bca27a4a00669d54713ca66fb19dd48d0f6276ff8f186ce2957aa0de4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be0ac360cb001353fa76f9f35ea2eaa3986ebb5ba87ed68e737bbaa10fd115b1",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-08-13T12:34:25Z",
    "title_canon_sha256": "50684cbbe42d88af13a14b2a735ec77cbf5459d4b20d1482566eb93ed7f5be01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2565",
    "kind": "arxiv",
    "version": 2
  }
}