Pith Number

pith:KQJ2TROG

pith:2019:KQJ2TROGRUEQ5TRFHSD5M5YJLD

not attested not anchored not stored refs pending

The Prevalence of Persistent Tangles

Louis H. Kauffman, Pedro Lopes

arxiv:1904.05951 v2 · 2019-04-11 · 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{KQJ2TROGRUEQ5TRFHSD5M5YJLD}

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	2026-05-17T23:48:19.614024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5413a9c5c68d090ece253c87d6770958c5da6830b0b5591cce8ef78d2d14ed04

Aliases

arxiv: 1904.05951 · arxiv_version: 1904.05951v2 · doi: 10.48550/arxiv.1904.05951 · pith_short_12: KQJ2TROGRUEQ · pith_short_16: KQJ2TROGRUEQ5TRF · pith_short_8: KQJ2TROG

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/KQJ2TROGRUEQ5TRFHSD5M5YJLD \
  | 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: 5413a9c5c68d090ece253c87d6770958c5da6830b0b5591cce8ef78d2d14ed04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a01e9e58bf2d7c5835276c3219059db0d9a9f76ddf376726c092bd946e1ea36",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-04-11T20:47:59Z",
    "title_canon_sha256": "cc6a50d68b51e85c317ac56b3e248dae1c7dd76c06b88dfe8a3230052a1375df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.05951",
    "kind": "arxiv",
    "version": 2
  }
}