Pith Number

pith:EXR5PUXK

pith:2019:EXR5PUXK5ZTTIZ4DKJPPWKL6Q6

not attested not anchored not stored refs pending

Factorizations of Schur functions

Jaydeb Sarkar, Ramlal Debnath

arxiv:1908.01850 v3 · 2019-08-05 · math.FA · math.CV · math.OA · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EXR5PUXK5ZTTIZ4DKJPPWKL6Q6}

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	2026-07-05T02:20:26.927878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25e3d7d2eaee67346783525efb297e87a8e594454769c6d6fb5f05f4e3fbad10

Aliases

arxiv: 1908.01850 · arxiv_version: 1908.01850v3 · doi: 10.48550/arxiv.1908.01850 · pith_short_12: EXR5PUXK5ZTT · pith_short_16: EXR5PUXK5ZTTIZ4D · pith_short_8: EXR5PUXK

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/EXR5PUXK5ZTTIZ4DKJPPWKL6Q6 \
  | 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: 25e3d7d2eaee67346783525efb297e87a8e594454769c6d6fb5f05f4e3fbad10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "307a5b11f01d6ff3f462823e384cfaf37ed715383a59ab92175e633b26fefefd",
    "cross_cats_sorted": [
      "math.CV",
      "math.OA",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-08-05T20:42:22Z",
    "title_canon_sha256": "4d432bce41ec39b0330c6d4708511eb8034261135c6bae31e0a3e54dc129183b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01850",
    "kind": "arxiv",
    "version": 3
  }
}