Pith Number

pith:7WF3KJZX

pith:2012:7WF3KJZXNASFATN3CLIECWWG3Y

not attested not anchored not stored refs pending

The Geometry and Fundamental Groups of Solenoid Complements

Du\v{s}an Repov\v{s}, G.R. Conner, M. H. Meilstrup

arxiv:1212.0128 v1 · 2012-12-01 · math.GT · math.AT · math.DS · math.GN · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7WF3KJZXNASFATN3CLIECWWG3Y}

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	2026-05-18T01:23:39.229123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd8bb527376824504dbb12d0415ac6de0c763c0adc2b4e06c28f84942c0a3abf

Aliases

arxiv: 1212.0128 · arxiv_version: 1212.0128v1 · doi: 10.48550/arxiv.1212.0128 · pith_short_12: 7WF3KJZXNASF · pith_short_16: 7WF3KJZXNASFATN3 · pith_short_8: 7WF3KJZX

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/7WF3KJZXNASFATN3CLIECWWG3Y \
  | 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: fd8bb527376824504dbb12d0415ac6de0c763c0adc2b4e06c28f84942c0a3abf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93b87ad368f268cab97d0ce7f86ee5ec978c7b5cf337db6d768b4bfb75cb6cf5",
    "cross_cats_sorted": [
      "math.AT",
      "math.DS",
      "math.GN",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-12-01T16:10:39Z",
    "title_canon_sha256": "50e81949af4373052c8ec62fdf49842fb44a7a76ef14dc7b7cb7923d63303aec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0128",
    "kind": "arxiv",
    "version": 1
  }
}