Pith Number

pith:6ILAZ2B4

pith:2012:6ILAZ2B4MNVYW5EKJ53I4OU5LA

not attested not anchored not stored refs pending

A Length Function for Weyl Groups of extended affine root systems of Type $A_1$

Mohammad Nikouei, Saeid Azam

arxiv:1207.2250 v1 · 2012-07-10 · math.QA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6ILAZ2B4MNVYW5EKJ53I4OU5LA}

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	2026-05-18T03:51:24.612660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2160ce83c636b8b748a4f768e3a9d582675562b1d5b45628b287b22dbf7d7fc

Aliases

arxiv: 1207.2250 · arxiv_version: 1207.2250v1 · doi: 10.48550/arxiv.1207.2250 · pith_short_12: 6ILAZ2B4MNVY · pith_short_16: 6ILAZ2B4MNVYW5EK · pith_short_8: 6ILAZ2B4

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/6ILAZ2B4MNVYW5EKJ53I4OU5LA \
  | 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: f2160ce83c636b8b748a4f768e3a9d582675562b1d5b45628b287b22dbf7d7fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a45b48a85c672f8470bbf0e747ce232048a438ca5e9f85c302403bede98bf74",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-07-10T07:35:56Z",
    "title_canon_sha256": "515c25bdcab9a346affbd312b134bf34042fc001bf0f843b1f08f323cd73deed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2250",
    "kind": "arxiv",
    "version": 1
  }
}