Pith Number

pith:CLH5EIDC

pith:2018:CLH5EIDCLJV6LZ247GSDSKS6BS

not attested not anchored not stored refs pending

Nondiscreteness of $F$-thresholds

Vijaylaxmi Trivedi

arxiv:1808.07321 v1 · 2018-08-22 · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CLH5EIDCLJV6LZ247GSDSKS6BS}

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	2026-05-18T00:07:29.181738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12cfd220625a6be5e75cf9a4392a5e0cb9d8bc34bc76c8b2f84cf0b0c387fa98

Aliases

arxiv: 1808.07321 · arxiv_version: 1808.07321v1 · doi: 10.48550/arxiv.1808.07321 · pith_short_12: CLH5EIDCLJV6 · pith_short_16: CLH5EIDCLJV6LZ24 · pith_short_8: CLH5EIDC

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/CLH5EIDCLJV6LZ247GSDSKS6BS \
  | 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: 12cfd220625a6be5e75cf9a4392a5e0cb9d8bc34bc76c8b2f84cf0b0c387fa98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d64ef668d43772a752eff6ba0c125918f9ac36da994333f5521ed15ef5052c82",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-08-22T11:35:52Z",
    "title_canon_sha256": "e7c5ac36275c77d298bf89b5e17e43d27ad2f9b92bbeb5a152327b4bf769cc28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.07321",
    "kind": "arxiv",
    "version": 1
  }
}