Pith Number

pith:T3GHKLGV

pith:2016:T3GHKLGV6XQP3KYCVC5OG5EFKF

not attested not anchored not stored refs pending

On the existence of $F$-thresholds and related limits

Alessandro De Stefani, Felipe P\'erez, Luis N\'u\~nez-Betancourt

arxiv:1605.03264 v2 · 2016-05-11 · 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{T3GHKLGV6XQP3KYCVC5OG5EFKF}

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	2026-05-18T00:52:59.281388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ecc752cd5f5e0fdab02a8bae374855177d66c1ee5e6740781ad4ed3f618045e

Aliases

arxiv: 1605.03264 · arxiv_version: 1605.03264v2 · doi: 10.48550/arxiv.1605.03264 · pith_short_12: T3GHKLGV6XQP · pith_short_16: T3GHKLGV6XQP3KYC · pith_short_8: T3GHKLGV

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/T3GHKLGV6XQP3KYCVC5OG5EFKF \
  | 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: 9ecc752cd5f5e0fdab02a8bae374855177d66c1ee5e6740781ad4ed3f618045e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "740dbb51e172411ff0f4a796796699d9076025230dd8e3a2424a38d6bc4553da",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-05-11T02:42:38Z",
    "title_canon_sha256": "330db10dae85d5db74e5ea62b96ec77ef5ffa1cec95c2343d3741df1fc666993"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.03264",
    "kind": "arxiv",
    "version": 2
  }
}