Pith Number

pith:ZWURQ5ZP

pith:2011:ZWURQ5ZPFJBZ64ZQNKOJQEOPK5

not attested not anchored not stored refs pending

Basic Questions on Artin-Tits groups

Eddy Godelle (LMNO), Luis Paris (IMB)

arxiv:1105.1048 v1 · 2011-05-05 · 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{ZWURQ5ZPFJBZ64ZQNKOJQEOPK5}

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	2026-05-18T04:22:49.385734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cda918772f2a439f73306a9c9811cf5771e24cd5dfbab623416b175d56beae32

Aliases

arxiv: 1105.1048 · arxiv_version: 1105.1048v1 · doi: 10.48550/arxiv.1105.1048 · pith_short_12: ZWURQ5ZPFJBZ · pith_short_16: ZWURQ5ZPFJBZ64ZQ · pith_short_8: ZWURQ5ZP

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/ZWURQ5ZPFJBZ64ZQNKOJQEOPK5 \
  | 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: cda918772f2a439f73306a9c9811cf5771e24cd5dfbab623416b175d56beae32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90cee84261b466cf498a78f99ae6c45ad750f28fb6def1d984dfe29a5c63f78c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-05-05T12:14:19Z",
    "title_canon_sha256": "17fb6b998d6f7a37ad0eb38c5b6a087749de8a940e26c4e608e184ace2f0d9a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1048",
    "kind": "arxiv",
    "version": 1
  }
}