Pith Number

pith:CA672ESR

pith:2010:CA672ESR5FFHWCCYTEWLM6REUG

not attested not anchored not stored refs pending

Stability inequalities and universal Schubert calculus of rank 2

Arkady Berenstein, Michael Kapovich

arxiv:1008.1773 v1 · 2010-08-10 · math.GR · math.MG · 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{CA672ESR5FFHWCCYTEWLM6REUG}

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	2026-05-18T04:42:23.343608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

103dfd1251e94a7b0858992cb67a24a1a19bdf6f801d19490d7ae127e94ab97a

Aliases

arxiv: 1008.1773 · arxiv_version: 1008.1773v1 · doi: 10.48550/arxiv.1008.1773 · pith_short_12: CA672ESR5FFH · pith_short_16: CA672ESR5FFHWCCY · pith_short_8: CA672ESR

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/CA672ESR5FFHWCCYTEWLM6REUG \
  | 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: 103dfd1251e94a7b0858992cb67a24a1a19bdf6f801d19490d7ae127e94ab97a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6250c8edf129d90d1b528843cad56dcfcab1187f77e17cac7eb96a4dd6614d5",
    "cross_cats_sorted": [
      "math.MG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-08-10T19:04:38Z",
    "title_canon_sha256": "e51c46cb2e9c8bd6cc747a3969112640d919791564340962a44a7aa1d27bd9e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1773",
    "kind": "arxiv",
    "version": 1
  }
}