Pith Number

pith:PMV3MBGB

pith:2002:PMV3MBGBIBVKPZH7W52NGYKTUZ

not attested not anchored not stored refs pending

Thin position for a connected sum of small knots

Eric Sedgwick, Yo'av Rieck

arxiv:math/0205125 v1 · 2002-05-12 · 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{PMV3MBGBIBVKPZH7W52NGYKTUZ}

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	2026-05-18T02:41:33.044418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b2bb604c1406aa7e4ffb774d36153a665fe1d2241c38a3b7090c45f3374643f

Aliases

arxiv: math/0205125 · arxiv_version: math/0205125v1 · doi: 10.48550/arxiv.math/0205125 · pith_short_12: PMV3MBGBIBVK · pith_short_16: PMV3MBGBIBVKPZH7 · pith_short_8: PMV3MBGB

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/PMV3MBGBIBVKPZH7W52NGYKTUZ \
  | 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: 7b2bb604c1406aa7e4ffb774d36153a665fe1d2241c38a3b7090c45f3374643f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a163337c3946b9b62a4ee91143bd415ac4c79250edac0372c1c3821b8684c915",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2002-05-12T09:06:10Z",
    "title_canon_sha256": "5a23c120699867f8439840caae951f9082b47b879661f12d55380bba83b786dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0205125",
    "kind": "arxiv",
    "version": 1
  }
}