Pith Number

pith:BTA67W4V

pith:2010:BTA67W4VF4AEBVGQWCEUA6A24V

not attested not anchored not stored refs pending

Epimorphisms between 2-bridge link groups: Homotopically trivial simple loops on 2-bridge spheres

Donghi Lee, Makoto Sakuma

arxiv:1004.2571 v5 · 2010-04-15 · math.GT · 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{BTA67W4VF4AEBVGQWCEUA6A24V}

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	2026-05-18T02:24:16.592752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cc1efdb952f0040d4d0b08940781ae56c1586ce76777dcbde08882b35022e61

Aliases

arxiv: 1004.2571 · arxiv_version: 1004.2571v5 · doi: 10.48550/arxiv.1004.2571 · pith_short_12: BTA67W4VF4AE · pith_short_16: BTA67W4VF4AEBVGQ · pith_short_8: BTA67W4V

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/BTA67W4VF4AEBVGQWCEUA6A24V \
  | 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: 0cc1efdb952f0040d4d0b08940781ae56c1586ce76777dcbde08882b35022e61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c72ba5ca61519f7124b1f567b8ce8588b70bc67af7f5c146c5ba59a980c2572e",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-04-15T08:01:49Z",
    "title_canon_sha256": "2d47b5f1248c623200b4452999e7e020243143b8264ee019820649077166d356"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.2571",
    "kind": "arxiv",
    "version": 5
  }
}