Pith Number

pith:H4YUQBTP

pith:2013:H4YUQBTPRHTVPIV75O5MOZWLRH

not attested not anchored not stored refs pending

Detecting codimension one manifold factors with the piecewise disjoint arc-disk property and related properties

Denise M. Halverson, Du\v{s}an Repov\v{s}

arxiv:1309.1866 v1 · 2013-09-07 · math.GT · 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{H4YUQBTPRHTVPIV75O5MOZWLRH}

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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	2026-05-18T03:13:57.211398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f3148066f89e757a2bfebbac766cb89cce4c196f2936e87ddcb718a9a2b1733

Aliases

arxiv: 1309.1866 · arxiv_version: 1309.1866v1 · doi: 10.48550/arxiv.1309.1866 · pith_short_12: H4YUQBTPRHTV · pith_short_16: H4YUQBTPRHTVPIV7 · pith_short_8: H4YUQBTP

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/H4YUQBTPRHTVPIV75O5MOZWLRH \
  | 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: 3f3148066f89e757a2bfebbac766cb89cce4c196f2936e87ddcb718a9a2b1733

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b50f84c0ba29c052eb56001ce673bc7fc021ed0e21a3c9f3acef33ea69558293",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-09-07T13:37:59Z",
    "title_canon_sha256": "659ba61ace8d41a70dd92ace9cd3958ac3654eae2760dc839e577e832f724b05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1866",
    "kind": "arxiv",
    "version": 1
  }
}