Pith Number

pith:EWGSWYWA

pith:2016:EWGSWYWAO4LSEPEJTOJLE4PYVI

not attested not anchored not stored refs pending

F-thresholds, integral closure and convexity

Matteo Varbaro

arxiv:1607.01147 v1 · 2016-07-05 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EWGSWYWAO4LSEPEJTOJLE4PYVI}

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	2026-05-18T01:11:30.071297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

258d2b62c07717223c899b92b271f8aa2bb7f9bde511eaa96710eda0e31e69ca

Aliases

arxiv: 1607.01147 · arxiv_version: 1607.01147v1 · doi: 10.48550/arxiv.1607.01147 · pith_short_12: EWGSWYWAO4LS · pith_short_16: EWGSWYWAO4LSEPEJ · pith_short_8: EWGSWYWA

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/EWGSWYWAO4LSEPEJTOJLE4PYVI \
  | 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: 258d2b62c07717223c899b92b271f8aa2bb7f9bde511eaa96710eda0e31e69ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c65b94e9ed25d8949f03c8531d07cbd2675530b2730d808407d9bbc89bdfdd03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-07-05T08:46:38Z",
    "title_canon_sha256": "32926310f55a2beef28a2b052ef2d3ace752ee1fb9566495238583ef4826bdec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01147",
    "kind": "arxiv",
    "version": 1
  }
}