Pith Number

pith:WDFRLZPW

pith:2010:WDFRLZPWGUOO3QLKWUQ6KO4HIZ

not attested not anchored not stored refs pending

2-knots with solvable group

Jonathan A. Hillman

arxiv:1003.5408 v1 · 2010-03-29 · 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{WDFRLZPWGUOO3QLKWUQ6KO4HIZ}

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	2026-05-18T04:10:47.194211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0cb15e5f6351cedc16ab521e53b8746487a9b190fa33b73040707f579399446

Aliases

arxiv: 1003.5408 · arxiv_version: 1003.5408v1 · doi: 10.48550/arxiv.1003.5408 · pith_short_12: WDFRLZPWGUOO · pith_short_16: WDFRLZPWGUOO3QLK · pith_short_8: WDFRLZPW

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/WDFRLZPWGUOO3QLKWUQ6KO4HIZ \
  | 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: b0cb15e5f6351cedc16ab521e53b8746487a9b190fa33b73040707f579399446

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc9e29b35f729d46aa2cf2d61d1c89ff0c9cb2dc4a36982a896b82927a0f742c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-03-29T00:10:44Z",
    "title_canon_sha256": "ec9f39c2a2a8e235eed4b2a4b6dd8e1f398d445e6d1e058e54022f71e0b38616"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5408",
    "kind": "arxiv",
    "version": 1
  }
}