Pith Number

pith:GJFOTO7P

pith:2013:GJFOTO7PY4B3T7G5I2BBM6S6SA

not attested not anchored not stored refs pending

Divided Difference Operator for the Highest root Hessenberg variety

Nicholas Teff

arxiv:1304.7840 v2 · 2013-04-30 · math.CO · 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{GJFOTO7PY4B3T7G5I2BBM6S6SA}

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	2026-05-18T03:26:42.324558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

324ae9bbefc703b9fcdd4682167a5e902b71ed86f9e35a5b931e03a6532742b2

Aliases

arxiv: 1304.7840 · arxiv_version: 1304.7840v2 · doi: 10.48550/arxiv.1304.7840 · pith_short_12: GJFOTO7PY4B3 · pith_short_16: GJFOTO7PY4B3T7G5 · pith_short_8: GJFOTO7P

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/GJFOTO7PY4B3T7G5I2BBM6S6SA \
  | 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: 324ae9bbefc703b9fcdd4682167a5e902b71ed86f9e35a5b931e03a6532742b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6aac08ee7d3d651c38993fd37d3a27799f67f42d2e826fd52ddeb077d78603ee",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-04-30T03:06:15Z",
    "title_canon_sha256": "2d4700678c09b9fb70e23831f4645f536628461ccf57956a7663956b36a66abc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7840",
    "kind": "arxiv",
    "version": 2
  }
}