Pith Number

pith:4I755BPG

pith:2016:4I755BPG74X3FPA4ETGA5YSSKX

not attested not anchored not stored refs pending

Natural properties of the trunk of a knot

Alexander Zupan, Derek Davies

arxiv:1608.00019 v1 · 2016-07-29 · 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{4I755BPG74X3FPA4ETGA5YSSKX}

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	2026-05-18T01:10:14.000069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e23fde85e6ff2fb2bc1c24cc0ee25255e199aa01e7b49dd9207c535d29b31f52

Aliases

arxiv: 1608.00019 · arxiv_version: 1608.00019v1 · doi: 10.48550/arxiv.1608.00019 · pith_short_12: 4I755BPG74X3 · pith_short_16: 4I755BPG74X3FPA4 · pith_short_8: 4I755BPG

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/4I755BPG74X3FPA4ETGA5YSSKX \
  | 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: e23fde85e6ff2fb2bc1c24cc0ee25255e199aa01e7b49dd9207c535d29b31f52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cff591b1d2329c2b52430f77d01bc7affd17a73c3ba1790811ed0a884d00764",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-07-29T20:18:18Z",
    "title_canon_sha256": "5b7bb57d8db1108ee24eedd2cfe0d1435edc3ebec5f498a0f6aac0e537753b37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00019",
    "kind": "arxiv",
    "version": 1
  }
}