Pith Number

pith:3MSH62JZ

pith:2011:3MSH62JZZNI4UCYSBSFEVKE4TK

not attested not anchored not stored refs pending

Abacus models for parabolic quotients of affine Weyl groups

Brant C. Jones, Christopher R. H. Hanusa

arxiv:1105.5333 v2 · 2011-05-26 · 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{3MSH62JZZNI4UCYSBSFEVKE4TK}

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	2026-05-18T04:00:28.425215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db247f6939cb51ca0b120c8a4aa89c9abde8e0dda73e9b9496f24e50fd8f8f27

Aliases

arxiv: 1105.5333 · arxiv_version: 1105.5333v2 · doi: 10.48550/arxiv.1105.5333 · pith_short_12: 3MSH62JZZNI4 · pith_short_16: 3MSH62JZZNI4UCYS · pith_short_8: 3MSH62JZ

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/3MSH62JZZNI4UCYSBSFEVKE4TK \
  | 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: db247f6939cb51ca0b120c8a4aa89c9abde8e0dda73e9b9496f24e50fd8f8f27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84a5c82d18228c0f8b43cd94e0199ba8b749d4ae3424420a857d8dc6cedada44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-05-26T16:12:14Z",
    "title_canon_sha256": "dd6aeeda56d51391304d65b170501fcc076c6fa608d87a9a82e0cfc897620824"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5333",
    "kind": "arxiv",
    "version": 2
  }
}