Pith Number

pith:IMGRVIU2

pith:2022:IMGRVIU2ZZTI7LNPCN6ZIXIWHI

not attested not anchored not stored refs pending

Singular braids, singular links and subgroups of camomile type

Tatyana A. Kozlovskaya, Valeriy G. Bardakov

arxiv:2212.08267 v1 · 2022-12-16 · 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{IMGRVIU2ZZTI7LNPCN6ZIXIWHI}

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	2026-07-05T05:25:54.632573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

430d1aa29ace668fadaf137d945d163a0b11c36eb54830a0ac611b8e2dfdd511

Aliases

arxiv: 2212.08267 · arxiv_version: 2212.08267v1 · doi: 10.48550/arxiv.2212.08267 · pith_short_12: IMGRVIU2ZZTI · pith_short_16: IMGRVIU2ZZTI7LNP · pith_short_8: IMGRVIU2

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/IMGRVIU2ZZTI7LNPCN6ZIXIWHI \
  | 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: 430d1aa29ace668fadaf137d945d163a0b11c36eb54830a0ac611b8e2dfdd511

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31dfad6fc44762dddee010c0d739b92f8822719f9f0f3e1212a4f22ac55268be",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2022-12-16T03:39:26Z",
    "title_canon_sha256": "aef5f01e728aa0f408dffffaad24f97d95dd1b805055cc57fc997ea2b5679b07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.08267",
    "kind": "arxiv",
    "version": 1
  }
}