Pith Number

pith:LE4A77Q5

pith:2001:LE4A77Q5CMEF7JOZXFVU6ODNWZ

not attested not anchored not stored refs pending

Seifert Manifolds

Frank Raymond, K. B. Lee

arxiv:math/0108188 v1 · 2001-08-28 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LE4A77Q5CMEF7JOZXFVU6ODNWZ}

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

Anyons on M5-Probes of Seifert 3-Orbifolds via Flux Quantization

Receipt and verification

First computed	2026-07-04T14:49:25.715018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59380ffe1d13085fa5d9b96b4f386db64b70491d70514c0d749c671c14ed0565

Aliases

arxiv: math/0108188 · arxiv_version: math/0108188v1 · doi: 10.48550/arxiv.math/0108188 · pith_short_12: LE4A77Q5CMEF · pith_short_16: LE4A77Q5CMEF7JOZ · pith_short_8: LE4A77Q5

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/LE4A77Q5CMEF7JOZXFVU6ODNWZ \
  | 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: 59380ffe1d13085fa5d9b96b4f386db64b70491d70514c0d749c671c14ed0565

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d64234f7679620c48afe901a22119db8eeed3f8cd933bbdedcd83e32a3329393",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2001-08-28T17:30:06Z",
    "title_canon_sha256": "0422c3ce07466cb631111aa1a4c8e6e60c8514d9022f8ea9d06e0688b63ccf93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0108188",
    "kind": "arxiv",
    "version": 1
  }
}