Pith Number

pith:JDB6Y652

pith:2018:JDB6Y652FL5TCNX4I3AF6THSMH

not attested not anchored not stored refs pending

The unbearable hardness of unknotting

Arnaud de Mesmay, Eric Sedgwick, Martin Tancer, Yo'av Rieck

arxiv:1810.03502 v1 · 2018-10-08 · 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{JDB6Y652FL5TCNX4I3AF6THSMH}

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	2026-05-18T00:03:51.098516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48c3ec7bba2afb3136fc46c05f4cf261df19c41e2327a4b18d89a5828bd11286

Aliases

arxiv: 1810.03502 · arxiv_version: 1810.03502v1 · doi: 10.48550/arxiv.1810.03502 · pith_short_12: JDB6Y652FL5T · pith_short_16: JDB6Y652FL5TCNX4 · pith_short_8: JDB6Y652

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/JDB6Y652FL5TCNX4I3AF6THSMH \
  | 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: 48c3ec7bba2afb3136fc46c05f4cf261df19c41e2327a4b18d89a5828bd11286

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14f70f27f28968967afc055e49534ca46e34c6e32051f9b99967bf3e1913c032",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-10-08T14:47:41Z",
    "title_canon_sha256": "a2604ea58409c68d5d3cb84f20abf4d3d775e753da75ca8faa895f62f33fe4aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.03502",
    "kind": "arxiv",
    "version": 1
  }
}