Pith Number

pith:WCTBMYVN

pith:2001:WCTBMYVNDFFWUEWQZHXA5ZCRK2

not attested not anchored not stored refs pending

Alcoves associated to special fibers of local models

B.C. Ngo, T. Haines

arxiv:math/0103048 v1 · 2001-03-07 · math.RT · math.AG · 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{WCTBMYVNDFFWUEWQZHXA5ZCRK2}

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	2026-07-04T14:35:06.590487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0a61662ad194b6a12d0c9ee0ee4515695456ef6840e2dbe3ca58e85b56c1cf7

Aliases

arxiv: math/0103048 · arxiv_version: math/0103048v1 · doi: 10.48550/arxiv.math/0103048 · pith_short_12: WCTBMYVNDFFW · pith_short_16: WCTBMYVNDFFWUEWQ · pith_short_8: WCTBMYVN

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/WCTBMYVNDFFWUEWQZHXA5ZCRK2 \
  | 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: b0a61662ad194b6a12d0c9ee0ee4515695456ef6840e2dbe3ca58e85b56c1cf7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd3b9925549600b0b04ea48d2615a51fe18e05b19072d82fccc5d5d6146ce807",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2001-03-07T17:53:33Z",
    "title_canon_sha256": "54a30d22c862a472f419e92ef18b1853fad123db83043537333802bf129e9817"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0103048",
    "kind": "arxiv",
    "version": 1
  }
}