Pith Number

pith:BEFZLTGO

pith:2010:BEFZLTGOMOKCIBRVVQKKJEN7QW

not attested not anchored not stored refs pending

Homotopically equivalent simple loops on 2-bridge spheres in 2-bridge link complements (I)

Donghi Lee, Makoto Sakuma

arxiv:1010.2232 v4 · 2010-10-11 · math.GR · 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{BEFZLTGOMOKCIBRVVQKKJEN7QW}

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	2026-05-18T03:11:59.422522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

090b95ccce6394240635ac14a491bf85ab6f3acf275cd3b9aee1ab5553cc95e6

Aliases

arxiv: 1010.2232 · arxiv_version: 1010.2232v4 · doi: 10.48550/arxiv.1010.2232 · pith_short_12: BEFZLTGOMOKC · pith_short_16: BEFZLTGOMOKCIBRV · pith_short_8: BEFZLTGO

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/BEFZLTGOMOKCIBRVVQKKJEN7QW \
  | 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: 090b95ccce6394240635ac14a491bf85ab6f3acf275cd3b9aee1ab5553cc95e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca31d4af3a11aac19eb290501701c13722ef536a320ca4d5917a3e40b2a20d6b",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-10-11T20:52:35Z",
    "title_canon_sha256": "f09c43e10fc93fcc56e7f9272fe0374d7d2bd32123aec78e1c7a1b65b6bb60c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2232",
    "kind": "arxiv",
    "version": 4
  }
}