Pith Number

pith:FKN2E7KQ

pith:2016:FKN2E7KQ7QV6HZLT6RCLDNZDQQ

not attested not anchored not stored refs pending

Schur polynomials and matrix positivity preservers

Alexander Belton, Apoorva Khare, Dominique Guillot, Mihai Putinar

arxiv:1602.04777 v2 · 2016-02-15 · math.CO · math.CA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FKN2E7KQ7QV6HZLT6RCLDNZDQQ}

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	2026-05-18T01:16:04.944715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a9ba27d50fc2be3e573f444b1b7238434f795dee754e24a2c96727d49794997

Aliases

arxiv: 1602.04777 · arxiv_version: 1602.04777v2 · doi: 10.48550/arxiv.1602.04777 · pith_short_12: FKN2E7KQ7QV6 · pith_short_16: FKN2E7KQ7QV6HZLT · pith_short_8: FKN2E7KQ

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/FKN2E7KQ7QV6HZLT6RCLDNZDQQ \
  | 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: 2a9ba27d50fc2be3e573f444b1b7238434f795dee754e24a2c96727d49794997

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2690917ac0cb2e4c072a10f2d96ee8f23bed42263f61bc0a44df9092d16097b6",
    "cross_cats_sorted": [
      "math.CA",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-15T19:42:25Z",
    "title_canon_sha256": "e49a7f8ad2a1643b717697f22468ba3a0ef1da30d8418b64870bb30861fdb73f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04777",
    "kind": "arxiv",
    "version": 2
  }
}