Pith Number

pith:QB4U3UK6

pith:2019:QB4U3UK6LUGAL4YQWABLXOQQ2C

not attested not anchored not stored refs pending

An SOS counterexample to an inequality of symmetric functions

Alexander Heaton, Isabelle Shankar

arxiv:1909.00081 v3 · 2019-08-30 · math.CO · math.AG · 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{QB4U3UK6LUGAL4YQWABLXOQQ2C}

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	2026-07-05T01:51:59.157036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80794dd15e5d0c05f310b002bbba10d0b6588754843eddd93f8bec6a869757a3

Aliases

arxiv: 1909.00081 · arxiv_version: 1909.00081v3 · doi: 10.48550/arxiv.1909.00081 · pith_short_12: QB4U3UK6LUGA · pith_short_16: QB4U3UK6LUGAL4YQ · pith_short_8: QB4U3UK6

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/QB4U3UK6LUGAL4YQWABLXOQQ2C \
  | 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: 80794dd15e5d0c05f310b002bbba10d0b6588754843eddd93f8bec6a869757a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33f3b492e2e24c987cdb6b2ecff8577e27c2dcf26bce940697c834eb64ba4947",
    "cross_cats_sorted": [
      "math.AG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-30T22:14:47Z",
    "title_canon_sha256": "b6f645c3857b93419105cee80dbdc09dc0ca7bb96d8a0beb5086677e565fac60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.00081",
    "kind": "arxiv",
    "version": 3
  }
}