Pith Number

pith:SHB6OZYE

pith:2014:SHB6OZYEFIXOUNYID3BA3XYZIF

not attested not anchored not stored refs pending

Lower bounds for numbers of real solutions in problems of Schubert calculus

E. Mukhin, V. Tarasov

arxiv:1404.7194 v1 · 2014-04-28 · math.QA · math-ph · math.AG · math.CO · math.MP · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SHB6OZYEFIXOUNYID3BA3XYZIF}

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	2026-05-18T02:52:57.291711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91c3e767042a2eea37081ec20ddf194163b3e21b88b00bbe3c0546f6b77b2065

Aliases

arxiv: 1404.7194 · arxiv_version: 1404.7194v1 · doi: 10.48550/arxiv.1404.7194 · pith_short_12: SHB6OZYEFIXO · pith_short_16: SHB6OZYEFIXOUNYI · pith_short_8: SHB6OZYE

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/SHB6OZYEFIXOUNYID3BA3XYZIF \
  | 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: 91c3e767042a2eea37081ec20ddf194163b3e21b88b00bbe3c0546f6b77b2065

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30cd0cfba07ab7f46323e0255d59828175dcf3815e3c0194ef66f633444fb92a",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.CO",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2014-04-28T23:48:28Z",
    "title_canon_sha256": "6b8a343c4697defb5d2a06436e6989c37d51c663ad7215c7ffc3d1480a1d1df5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.7194",
    "kind": "arxiv",
    "version": 1
  }
}