Pith Number

pith:3CJH3V7C

pith:2017:3CJH3V7CKTRNFNB6IW46H7HULX

not attested not anchored not stored refs pending

Cubulated moves for 2-knots

Alberto Verjovsky, Gabriela Hinojosa, Juan Pablo D\'iaz

arxiv:1708.07761 v1 · 2017-08-24 · 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{3CJH3V7CKTRNFNB6IW46H7HULX}

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	2026-05-18T00:36:42.082204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8927dd7e254e2d2b43e45b9e3fcf45dd59a7a7c044f474de0c745cfbc7559b9

Aliases

arxiv: 1708.07761 · arxiv_version: 1708.07761v1 · doi: 10.48550/arxiv.1708.07761 · pith_short_12: 3CJH3V7CKTRN · pith_short_16: 3CJH3V7CKTRNFNB6 · pith_short_8: 3CJH3V7C

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/3CJH3V7CKTRNFNB6IW46H7HULX \
  | 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: d8927dd7e254e2d2b43e45b9e3fcf45dd59a7a7c044f474de0c745cfbc7559b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d1eb0734dd8012d6d2a4cd8095eb4ff09460974bf944af4705050b4040c6960",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-08-24T16:38:31Z",
    "title_canon_sha256": "4401a3a652ce5f55f07392f9a859f3e1253b25c26a34ddd88eff1f488dd500d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.07761",
    "kind": "arxiv",
    "version": 1
  }
}