Pith Number

pith:QCQQFXN2

pith:2014:QCQQFXN2KNQ367VN2LWLAIHEMC

not attested not anchored not stored refs pending

Free transformations of $S^1 \times S^n$ of square-free odd period

Qayum Khan

arxiv:1405.0699 v3 · 2014-05-04 · 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{QCQQFXN2KNQ367VN2LWLAIHEMC}

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	2026-05-18T00:32:03.335210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80a102ddba5361bf7eadd2ecb020e4609be1ca0b8b6d53acffbe5f12c5cbd2be

Aliases

arxiv: 1405.0699 · arxiv_version: 1405.0699v3 · doi: 10.48550/arxiv.1405.0699 · pith_short_12: QCQQFXN2KNQ3 · pith_short_16: QCQQFXN2KNQ367VN · pith_short_8: QCQQFXN2

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/QCQQFXN2KNQ367VN2LWLAIHEMC \
  | 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: 80a102ddba5361bf7eadd2ecb020e4609be1ca0b8b6d53acffbe5f12c5cbd2be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c02c9d9e42f73c0fe2937f223077f30f3edd34af5955cfc2a8c73c41be90573",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-05-04T13:53:14Z",
    "title_canon_sha256": "39759ccf3930879b55779163e2d8b0c34dce743311c0cb17560ba57648fdd9d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.0699",
    "kind": "arxiv",
    "version": 3
  }
}