Pith Number

pith:NIXMNL7H

pith:2015:NIXMNL7HK76ADYM4LJLLO3C2SA

not attested not anchored not stored refs pending

On the Witten Rigidity Theorem for Odd Dimensional Manifolds

Fei Han, Jianqing Yu

arxiv:1504.03007 v2 · 2015-04-12 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NIXMNL7HK76ADYM4LJLLO3C2SA}

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.

Cited by

1 paper in Pith

Several new $SL(2,Z)$ modular forms and anomaly cancellation formulas

Receipt and verification

First computed	2026-05-18T02:18:03.311187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a2ec6afe757fc01e19c5a56b76c5a903213314b2c6fcd358dbbe046a4406442

Aliases

arxiv: 1504.03007 · arxiv_version: 1504.03007v2 · doi: 10.48550/arxiv.1504.03007 · pith_short_12: NIXMNL7HK76A · pith_short_16: NIXMNL7HK76ADYM4 · pith_short_8: NIXMNL7H

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/NIXMNL7HK76ADYM4LJLLO3C2SA \
  | 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: 6a2ec6afe757fc01e19c5a56b76c5a903213314b2c6fcd358dbbe046a4406442

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3601c83b4e9276388fbb746eae2fe36c875c3796e704456c810a3267261947a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-04-12T19:11:52Z",
    "title_canon_sha256": "a44f1ee7bb51602499f5142bbf7f721bfe9535ec11678e194e21e4563e9f3f5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03007",
    "kind": "arxiv",
    "version": 2
  }
}