Pith Number

pith:37LIY5YV

pith:2012:37LIY5YVQ324TPAVXPMLDNX4MF

not attested not anchored not stored refs pending

On the Witten Rigidity Theorem for String$^c$ Manifolds

Bo Liu, Jianqing Yu

arxiv:1206.5955 v1 · 2012-06-26 · math.DG · math-ph · 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{37LIY5YVQ324TPAVXPMLDNX4MF}

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	2026-05-18T01:22:26.546989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfd68c771586f5c9bc15bbd8b1b6fc6145ea3bc320c6aa941ec0bc34392a469a

Aliases

arxiv: 1206.5955 · arxiv_version: 1206.5955v1 · doi: 10.48550/arxiv.1206.5955 · pith_short_12: 37LIY5YVQ324 · pith_short_16: 37LIY5YVQ324TPAV · pith_short_8: 37LIY5YV

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/37LIY5YVQ324TPAVXPMLDNX4MF \
  | 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: dfd68c771586f5c9bc15bbd8b1b6fc6145ea3bc320c6aa941ec0bc34392a469a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a54f8e48c6c1383fc39870d8978201626d6409d0755f74da5b6b5bcc452dfb5f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-06-26T11:21:57Z",
    "title_canon_sha256": "1b792bcc6d6d2218dbb8d668642900bc401e1b5cf7908462827c045d32e342e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5955",
    "kind": "arxiv",
    "version": 1
  }
}