Pith Number

pith:7Q7SNHFZ

pith:2024:7Q7SNHFZU7ITOR7EMV7ROTUZGA

not attested not anchored not stored refs pending

Upho lattices I: examples and non-examples of cores

Sam Hopkins

arxiv:2407.08013 v2 · 2024-07-10 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7Q7SNHFZU7ITOR7EMV7ROTUZGA}

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.

Cited by

1 paper in Pith

Totally nonnegative matrices, chain enumeration and zeros of polynomials

Receipt and verification

First computed	2026-07-05T10:10:27.096767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc3f269cb9a7d13747e4657f174e993012a166e5e4d0470b423d9a4ec66e9dad

Aliases

arxiv: 2407.08013 · arxiv_version: 2407.08013v2 · doi: 10.48550/arxiv.2407.08013 · pith_short_12: 7Q7SNHFZU7IT · pith_short_16: 7Q7SNHFZU7ITOR7E · pith_short_8: 7Q7SNHFZ

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/7Q7SNHFZU7ITOR7EMV7ROTUZGA \
  | 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: fc3f269cb9a7d13747e4657f174e993012a166e5e4d0470b423d9a4ec66e9dad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dc4220bcc5f30ede463051ef00b3c0d7953d8ddfa09b824e6118fbe6cbff66d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-07-10T19:41:37Z",
    "title_canon_sha256": "526ab5d0bc1dd3f47159f68ed224688c1ed123a19fc2e912e5bb4dfa415c4360"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.08013",
    "kind": "arxiv",
    "version": 2
  }
}