Pith Number

pith:B7KD4IMB

pith:2018:B7KD4IMB6OZHNC6M2NSC43EQ5I

not attested not anchored not stored refs pending

Virtual braids and permutations

Luis Paris (IMB), Paolo Bellingeri (LMNO)

arxiv:1808.10301 v1 · 2018-08-30 · 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{B7KD4IMB6OZHNC6M2NSC43EQ5I}

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	2026-05-18T00:06:49.212485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fd43e2181f3b2768bccd3642e6c90ea147925fa652549151c02d69f4fff7748

Aliases

arxiv: 1808.10301 · arxiv_version: 1808.10301v1 · doi: 10.48550/arxiv.1808.10301 · pith_short_12: B7KD4IMB6OZH · pith_short_16: B7KD4IMB6OZHNC6M · pith_short_8: B7KD4IMB

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/B7KD4IMB6OZHNC6M2NSC43EQ5I \
  | 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: 0fd43e2181f3b2768bccd3642e6c90ea147925fa652549151c02d69f4fff7748

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cc8cbb99652ea5648028abeb645fe6cded185b4855fc8673670daf7ddf7e9d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-08-30T13:58:09Z",
    "title_canon_sha256": "fadbb49d9c43d4e5249d0c27eb0aad0219d9dfa6c6ca3ae060f7d1d993f654de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.10301",
    "kind": "arxiv",
    "version": 1
  }
}