Pith Number

pith:A45HM42X

pith:2010:A45HM42X7BBMAYN7DGAAMSAG36

not attested not anchored not stored refs pending

Solving Schubert Problems with Littlewood-Richardson Homotopies

Frank Sottile, Jan Verschelde, Ravi Vakil

arxiv:1001.4125 v1 · 2010-01-23 · math.NA · cs.NA · 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{A45HM42X7BBMAYN7DGAAMSAG36}

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	2026-06-03T23:06:32.959163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

073a767357f842c061bf1980064806dfa8cf00525c366d3179a0f935c6e19f2b

Aliases

arxiv: 1001.4125 · arxiv_version: 1001.4125v1 · doi: 10.48550/arxiv.1001.4125 · pith_short_12: A45HM42X7BBM · pith_short_16: A45HM42X7BBMAYN7 · pith_short_8: A45HM42X

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/A45HM42X7BBMAYN7DGAAMSAG36 \
  | 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: 073a767357f842c061bf1980064806dfa8cf00525c366d3179a0f935c6e19f2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cafb7bb0c4432878d4e44cc34004ea43961796b97df22598646e291ef314246",
    "cross_cats_sorted": [
      "cs.NA",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2010-01-23T03:26:25Z",
    "title_canon_sha256": "3eb2e187be0f2a76eec4a9dcd1813a9fd1c1e6fb2593090d0c720d67e66a2865"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.4125",
    "kind": "arxiv",
    "version": 1
  }
}