Pith Number

pith:JEXZDKQB

pith:2026:JEXZDKQBX5PVZU624SWOWMEGRG

not attested not anchored not stored refs pending

Stable homology of complex braid groups

Andrea Bianchi, Filippo Callegaro, Luigi Caputi, Paolo Salvatore

arxiv:2606.12206 v1 · 2026-06-10 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JEXZDKQBX5PVZU624SWOWMEGRG}

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	2026-06-11T01:10:54.273470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

492f91aa01bf5f5cd3dae4aceb308689bda8445ee1391ad24c0924b948ea5f54

Aliases

arxiv: 2606.12206 · arxiv_version: 2606.12206v1 · doi: 10.48550/arxiv.2606.12206 · pith_short_12: JEXZDKQBX5PV · pith_short_16: JEXZDKQBX5PVZU62 · pith_short_8: JEXZDKQB

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/JEXZDKQBX5PVZU624SWOWMEGRG \
  | 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: 492f91aa01bf5f5cd3dae4aceb308689bda8445ee1391ad24c0924b948ea5f54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a421469f65fb97ee6bff17d8e4b078da1a1a912f81c57a19d98b8a43b0db57ae",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-06-10T15:24:50Z",
    "title_canon_sha256": "878c11d11b2875c9e627a71fbf2ee700b751bf3ad04be87fdf166b0d3706efc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12206",
    "kind": "arxiv",
    "version": 1
  }
}