Pith Number

pith:QYCE2PC6

pith:2015:QYCE2PC6GFWVH652TZJO65S4VX

not attested not anchored not stored refs pending

Torus fixed points in Schubert varieties and normalized median Genocchi numbers

Ghislain Fourier, Xin Fang

arxiv:1504.03980 v2 · 2015-04-15 · math.RT · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QYCE2PC6GFWVH652TZJO65S4VX}

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	2026-05-18T01:12:30.853802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86044d3c5e316d53fbba9e52ef765cadc63e026fc2375a900938614c4e6fb40c

Aliases

arxiv: 1504.03980 · arxiv_version: 1504.03980v2 · doi: 10.48550/arxiv.1504.03980 · pith_short_12: QYCE2PC6GFWV · pith_short_16: QYCE2PC6GFWVH652 · pith_short_8: QYCE2PC6

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/QYCE2PC6GFWVH652TZJO65S4VX \
  | 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: 86044d3c5e316d53fbba9e52ef765cadc63e026fc2375a900938614c4e6fb40c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "caad9fcf9749fa01720cd307ea1758aee2ab80e1b8dc3ffc2d103645c23c4a00",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-04-15T17:51:13Z",
    "title_canon_sha256": "bdaf74b52cadde5940d6f8d74531f3fef749a73bd28d2b2ed49b6b340938146b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03980",
    "kind": "arxiv",
    "version": 2
  }
}