Pith Number

pith:PZBK3OMK

pith:2015:PZBK3OMKIPUYVDGFNBAHOMZWZQ

not attested not anchored not stored refs pending

Some Problems on Knots, Braids, and Automorphism Groups

Andrei Vesnin, Jie Wu, Krishnendu Gongopadhyay, Mahender Singh, Valeriy G. Bardakov

arxiv:1501.05424 v1 · 2015-01-22 · math.GT · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PZBK3OMKIPUYVDGFNBAHOMZWZQ}

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	2026-05-18T01:28:38.839355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e42adb98a43e98a8cc56840773336cc272d0fc586528daa8e0b5fa1237c57ef

Aliases

arxiv: 1501.05424 · arxiv_version: 1501.05424v1 · doi: 10.48550/arxiv.1501.05424 · pith_short_12: PZBK3OMKIPUY · pith_short_16: PZBK3OMKIPUYVDGF · pith_short_8: PZBK3OMK

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/PZBK3OMKIPUYVDGFNBAHOMZWZQ \
  | 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: 7e42adb98a43e98a8cc56840773336cc272d0fc586528daa8e0b5fa1237c57ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52425d432ce2fbd409c2153a767c46d004b04196d547d3119fd9e04c5962b309",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-01-22T08:44:37Z",
    "title_canon_sha256": "a3688f7fbacffa158ccfc810d1a209d85052c85853f3bb69c27909387ea3ea80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05424",
    "kind": "arxiv",
    "version": 1
  }
}