Pith Number

pith:P7Z2Z7EL

pith:2013:P7Z2Z7ELE577CNGERJOZIEWIHP

not attested not anchored not stored refs pending

Enumerating indices of Schubert varieties defined by inclusions

Michael H. Albert, Robert Brignall

arxiv:1301.3188 v2 · 2013-01-15 · math.CO · 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{P7Z2Z7ELE577CNGERJOZIEWIHP}

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	2026-05-18T03:04:59.623503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ff3acfc8b277ff134c48a5d9412c83bd9edf1c58ec960d1e456ef9761576fbc

Aliases

arxiv: 1301.3188 · arxiv_version: 1301.3188v2 · doi: 10.48550/arxiv.1301.3188 · pith_short_12: P7Z2Z7ELE577 · pith_short_16: P7Z2Z7ELE577CNGE · pith_short_8: P7Z2Z7EL

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/P7Z2Z7ELE577CNGERJOZIEWIHP \
  | 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: 7ff3acfc8b277ff134c48a5d9412c83bd9edf1c58ec960d1e456ef9761576fbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a419273a23593b1d32d9e4251687c08b7e10fe9de3a3d9e3ab31b2e49c08b942",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-01-15T00:15:29Z",
    "title_canon_sha256": "db9e2e0359dac481c7d0f7e2a4363305a203edbac3103cb573c053754cb20a15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.3188",
    "kind": "arxiv",
    "version": 2
  }
}