Pith Number

pith:RK2XMI2J

pith:2015:RK2XMI2JZQ3YURY7RG6LTARTTO

not attested not anchored not stored refs pending

Garside elements, inertia and Galois action on braid groups

Filippo Callegaro, Giovanni Gaiffi, Pierre Lochak

arxiv:1507.07208 v3 · 2015-07-26 · math.AT · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RK2XMI2JZQ3YURY7RG6LTARTTO}

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	2026-05-18T01:19:18.569622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ab5762349cc378a471f89bcb982339b843c081cc84a9e2f93456bee83efbb0f

Aliases

arxiv: 1507.07208 · arxiv_version: 1507.07208v3 · doi: 10.48550/arxiv.1507.07208 · pith_short_12: RK2XMI2JZQ3Y · pith_short_16: RK2XMI2JZQ3YURY7 · pith_short_8: RK2XMI2J

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/RK2XMI2JZQ3YURY7RG6LTARTTO \
  | 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: 8ab5762349cc378a471f89bcb982339b843c081cc84a9e2f93456bee83efbb0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa6721c811dcf7cdefe1824a538b59d2c4266bc6442b81d1fb3575e7bf597b7c",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-07-26T15:05:43Z",
    "title_canon_sha256": "0caafa0d77d8b0422e4b636b40191b7f9c3bb02ba41a2e2a981c6b6aa1f69980"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07208",
    "kind": "arxiv",
    "version": 3
  }
}