Pith Number

pith:GYQTPJT2

pith:2014:GYQTPJT2SH5HAGZGMF7LK2C77B

not attested not anchored not stored refs pending

Okounkov bodies for ample line bundles with applications to multiplicities for group representations

Henrik Sepp\"anen

arxiv:1409.2026 v1 · 2014-09-06 · math.AG · 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{GYQTPJT2SH5HAGZGMF7LK2C77B}

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	2026-05-18T02:43:18.105748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

362137a67a91fa701b26617eb5685ff859d8658926132a65103e73143b376900

Aliases

arxiv: 1409.2026 · arxiv_version: 1409.2026v1 · doi: 10.48550/arxiv.1409.2026 · pith_short_12: GYQTPJT2SH5H · pith_short_16: GYQTPJT2SH5HAGZG · pith_short_8: GYQTPJT2

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/GYQTPJT2SH5HAGZGMF7LK2C77B \
  | 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: 362137a67a91fa701b26617eb5685ff859d8658926132a65103e73143b376900

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9398d2bb324242987b9ce1c3a16ba1c492b1ce5949fe59e09d79e80ce429918",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-09-06T16:01:32Z",
    "title_canon_sha256": "dcc3a3b5e9fc1fa5e66465efdc5cc6354e5e7c4a2db668572d72199e54db75cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2026",
    "kind": "arxiv",
    "version": 1
  }
}