Pith Number

pith:F434SHZU

pith:2014:F434SHZUO2CW4EGEAGYTBZB7OZ

not attested not anchored not stored refs pending

Young diagrams and intersection numbers for toric manifolds associated with Weyl chambers

Hiraku Abe

arxiv:1404.3805 v2 · 2014-04-15 · math.CO · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F434SHZUO2CW4EGEAGYTBZB7OZ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:29:38.989406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f37c91f3476856e10c401b130e43f7654f3f21960606ec1659a00d05f50b732

Aliases

arxiv: 1404.3805 · arxiv_version: 1404.3805v2 · doi: 10.48550/arxiv.1404.3805 · pith_short_12: F434SHZUO2CW · pith_short_16: F434SHZUO2CW4EGE · pith_short_8: F434SHZU

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/F434SHZUO2CW4EGEAGYTBZB7OZ \
  | 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: 2f37c91f3476856e10c401b130e43f7654f3f21960606ec1659a00d05f50b732

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cd035ba10a36f3ad52034ff8206ab413095b2486abba982eefc2c7809e1ae86",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-04-15T03:21:53Z",
    "title_canon_sha256": "7dcd1165e9a6df8224b9ec41c62c43a2f5cf1b0f7bd70552eb5e1025f1e7eac4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.3805",
    "kind": "arxiv",
    "version": 2
  }
}