Pith Number

pith:LWHPUPBU

pith:2005:LWHPUPBUAXDS6RKY4GW4E5FQB2

not attested not anchored not stored refs pending

Combinatorics and Geometry of Higher Level Weyl Modules

A.N. Kirillov, B. Feigin, S. Loktev

arxiv:math/0503315 v3 · 2005-03-16 · math.QA · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LWHPUPBUAXDS6RKY4GW4E5FQB2}

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	2026-05-18T04:33:18.442173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d8efa3c3405c72f4558e1adc274b00e941ff37dee018fdc83678ff12e416f24

Aliases

arxiv: math/0503315 · arxiv_version: math/0503315v3 · doi: 10.48550/arxiv.math/0503315 · pith_short_12: LWHPUPBUAXDS · pith_short_16: LWHPUPBUAXDS6RKY · pith_short_8: LWHPUPBU

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/LWHPUPBUAXDS6RKY4GW4E5FQB2 \
  | 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: 5d8efa3c3405c72f4558e1adc274b00e941ff37dee018fdc83678ff12e416f24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b5b2066844878b743a39e72b65c73459c24b806ee3b27cdd602ab73a7ea4512",
    "cross_cats_sorted": [
      "math.CO",
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2005-03-16T08:15:56Z",
    "title_canon_sha256": "f9efb5d4d6a7a1db0f3320f5c3346c33ff627881a57498517514e8a7794b55a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0503315",
    "kind": "arxiv",
    "version": 3
  }
}