Pith Number

pith:BACXRFFZ

pith:2012:BACXRFFZVNI4HDNPMAPFL5BXK4

not attested not anchored not stored refs pending

Explicit Demazure character formula for negative dominant characters

S. Senthamarai Kannan

arxiv:1211.3542 v1 · 2012-11-15 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BACXRFFZVNI4HDNPMAPFL5BXK4}

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	2026-05-18T03:40:39.485726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08057894b9ab51c38daf601e55f437571fe34d8328b41cddcdcd843d1767b163

Aliases

arxiv: 1211.3542 · arxiv_version: 1211.3542v1 · doi: 10.48550/arxiv.1211.3542 · pith_short_12: BACXRFFZVNI4 · pith_short_16: BACXRFFZVNI4HDNP · pith_short_8: BACXRFFZ

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/BACXRFFZVNI4HDNPMAPFL5BXK4 \
  | 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: 08057894b9ab51c38daf601e55f437571fe34d8328b41cddcdcd843d1767b163

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab678b35a69e03749d1200e3f369a02a68f5a291790d484acdcc9032932388bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-11-15T09:29:49Z",
    "title_canon_sha256": "9de2e74ec7f7c3efb0d735fcf80ee1d6b3d2a8825e7ce43b78039e47fd82706b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3542",
    "kind": "arxiv",
    "version": 1
  }
}