Pith Number

pith:Z4EUI53K

pith:2010:Z4EUI53KYA3PTA7SMUYF2KKQ3D

not attested not anchored not stored refs pending

The Classification of the Epimorphisms from the Artin-Tits groups of type $A(\widetilde{A}_{n})$ to $W(\widetilde{A}_{n})$

Nuno Franco

arxiv:1003.3634 v2 · 2010-03-18 · 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{Z4EUI53KYA3PTA7SMUYF2KKQ3D}

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	2026-05-18T04:34:37.178388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf0944776ac036f983f265305d2950d8cb0240009dfe1143c68aacf1dd8802bf

Aliases

arxiv: 1003.3634 · arxiv_version: 1003.3634v2 · doi: 10.48550/arxiv.1003.3634 · pith_short_12: Z4EUI53KYA3P · pith_short_16: Z4EUI53KYA3PTA7S · pith_short_8: Z4EUI53K

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/Z4EUI53KYA3PTA7SMUYF2KKQ3D \
  | 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: cf0944776ac036f983f265305d2950d8cb0240009dfe1143c68aacf1dd8802bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72721067baea884f43f84951682a5637459d22a6aefea1f864aad9603bdbf3d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-03-18T17:05:44Z",
    "title_canon_sha256": "624444ab5a64c9beaac165a715abf90f7edeb7eaee22048ba18922151b94a963"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.3634",
    "kind": "arxiv",
    "version": 2
  }
}