Pith Number

pith:WRLDC4WN

pith:2018:WRLDC4WNIKLBOJTWEHQFDMSGQA

not attested not anchored not stored refs pending

Knot modules and ribbon 2-knots

Jonathan A. Hillman

arxiv:1806.05313 v2 · 2018-06-14 · 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{WRLDC4WNIKLBOJTWEHQFDMSGQA}

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	2026-05-18T00:10:21.648328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4563172cd429617267621e051b2468009a4123295187d5dde0fab7c55ae8ef2

Aliases

arxiv: 1806.05313 · arxiv_version: 1806.05313v2 · doi: 10.48550/arxiv.1806.05313 · pith_short_12: WRLDC4WNIKLB · pith_short_16: WRLDC4WNIKLBOJTW · pith_short_8: WRLDC4WN

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/WRLDC4WNIKLBOJTWEHQFDMSGQA \
  | 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: b4563172cd429617267621e051b2468009a4123295187d5dde0fab7c55ae8ef2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c108d58b4a5dd2943832df83d2dc5f43ffa9f27c562db67a5b091d3e9244c0f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-06-14T00:45:10Z",
    "title_canon_sha256": "e44ab4fd2924e3df8da61e84916a48c34eac658ac1d2e0b0e9957ab7f772031f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.05313",
    "kind": "arxiv",
    "version": 2
  }
}