Pith Number

pith:GCAVSDPW

pith:2018:GCAVSDPWV5NTZX3VFH2KJYUM2U

not attested not anchored not stored refs pending

Width of the Whitehead double of a nontrivial knot

Qilong Guo, Zhenkun Li

arxiv:1803.02480 v2 · 2018-03-06 · 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{GCAVSDPWV5NTZX3VFH2KJYUM2U}

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	2026-05-17T23:40:41.883276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3081590df6af5b3cdf7529f4a4e28cd53293a995ad16db8f75011219334d272c

Aliases

arxiv: 1803.02480 · arxiv_version: 1803.02480v2 · doi: 10.48550/arxiv.1803.02480 · pith_short_12: GCAVSDPWV5NT · pith_short_16: GCAVSDPWV5NTZX3V · pith_short_8: GCAVSDPW

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/GCAVSDPWV5NTZX3VFH2KJYUM2U \
  | 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: 3081590df6af5b3cdf7529f4a4e28cd53293a995ad16db8f75011219334d272c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2557cbac43e2431cc426cc18eb698fedb97bc89b9070f9b374a81a4c3cbd38d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-03-06T23:55:51Z",
    "title_canon_sha256": "47a376cc24c82ef75e40a79e36fbfefa593962e904ba154736382246913b8a20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.02480",
    "kind": "arxiv",
    "version": 2
  }
}