Pith Number

pith:N7HTHVOZ

pith:2004:N7HTHVOZYLE5ES6IBL6AXCM5UM

not attested not anchored not stored refs pending

A weight multiplicity formula for Demazure modules

Bogdan Ion

arxiv:math/0409218 v1 · 2004-09-14 · 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{N7HTHVOZYLE5ES6IBL6AXCM5UM}

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	2026-07-04T14:39:03.854797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fcf33d5d9c2c9d24bc80afc0b899da33966e8a978b4c5d7dbc46323124c7b31

Aliases

arxiv: math/0409218 · arxiv_version: math/0409218v1 · doi: 10.48550/arxiv.math/0409218 · pith_short_12: N7HTHVOZYLE5 · pith_short_16: N7HTHVOZYLE5ES6I · pith_short_8: N7HTHVOZ

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/N7HTHVOZYLE5ES6IBL6AXCM5UM \
  | 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: 6fcf33d5d9c2c9d24bc80afc0b899da33966e8a978b4c5d7dbc46323124c7b31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2714aad4a6cbfe4dce1f9cf545d2120684c644e6b63c57b40ef3b5914b5efcc5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2004-09-14T01:20:55Z",
    "title_canon_sha256": "5e115c7f5ff57bebc1e3e37ed59219f5114405a65d55aad9a6d18182d6f853b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0409218",
    "kind": "arxiv",
    "version": 1
  }
}