Pith Number

pith:5GANPEMU

pith:2015:5GANPEMUN6TPIIZUNCYMQOX2UE

not attested not anchored not stored refs pending

Categorical action of the extended braid group of affine type A

Agnes Gadbled, Anne-Laure Thiel, Emmanuel Wagner

arxiv:1504.07596 v1 · 2015-04-28 · math.GT · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5GANPEMUN6TPIIZUNCYMQOX2UE}

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	2026-05-18T02:17:34.265734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e980d791946fa6f4233468b0c83afaa1057bb5db1c465f970aa4c7467bbea647

Aliases

arxiv: 1504.07596 · arxiv_version: 1504.07596v1 · doi: 10.48550/arxiv.1504.07596 · pith_short_12: 5GANPEMUN6TP · pith_short_16: 5GANPEMUN6TPIIZU · pith_short_8: 5GANPEMU

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/5GANPEMUN6TPIIZUNCYMQOX2UE \
  | 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: e980d791946fa6f4233468b0c83afaa1057bb5db1c465f970aa4c7467bbea647

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a1bda8978456aada41bd528f1c1e6c8743304a624e269cf4df39b37eeb0fb1e",
    "cross_cats_sorted": [
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-04-28T18:48:25Z",
    "title_canon_sha256": "7d4e9282e60d0029715e80b01d91bcd028cb1fe48ff7e83f77d8bff9a16f67b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07596",
    "kind": "arxiv",
    "version": 1
  }
}