Pith Number

pith:5Q2I6NGW

pith:2011:5Q2I6NGWRUGTWKZ3HE4OB4C7NS

not attested not anchored not stored refs pending

Topological rigidity and H_1-negative involutions on tori

Frank Connolly, James F. Davis, Qayum Khan

arxiv:1102.2660 v4 · 2011-02-14 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5Q2I6NGWRUGTWKZ3HE4OB4C7NS}

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	2026-05-18T02:38:18.245523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec348f34d68d0d3b2b3b3938e0f05f6c952d04b5992ddef5be669b471b9fe46c

Aliases

arxiv: 1102.2660 · arxiv_version: 1102.2660v4 · doi: 10.48550/arxiv.1102.2660 · pith_short_12: 5Q2I6NGWRUGT · pith_short_16: 5Q2I6NGWRUGTWKZ3 · pith_short_8: 5Q2I6NGW

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/5Q2I6NGWRUGTWKZ3HE4OB4C7NS \
  | 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: ec348f34d68d0d3b2b3b3938e0f05f6c952d04b5992ddef5be669b471b9fe46c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8829d40f27c3ea39a98c2cda63cf08bdae46e551b36ce86648499448bda0a34f",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-02-14T01:32:08Z",
    "title_canon_sha256": "1aae7208f8d3609544fa685c81b872141e80e4810a84c2faec6f084a579557df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2660",
    "kind": "arxiv",
    "version": 4
  }
}