Pith Number

pith:7NEYN3VR

pith:2021:7NEYN3VRGKTYBN6DMC4FEKPQ34

not attested not anchored not stored refs pending

Irrationality and Transcendence Criteria for Infinite Series in Isabelle/HOL

Angeliki Koutsoukou-Argyraki, Lawrence C. Paulson, Wenda Li

arxiv:2101.05257 v2 · 2021-01-08 · cs.LO · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7NEYN3VRGKTYBN6DMC4FEKPQ34}

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	2026-07-05T05:06:07.048717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb4986eeb132a780b7c360b85229f0df35ad627a7895be07d2e43b3d1fa1e779

Aliases

arxiv: 2101.05257 · arxiv_version: 2101.05257v2 · doi: 10.48550/arxiv.2101.05257 · pith_short_12: 7NEYN3VRGKTY · pith_short_16: 7NEYN3VRGKTYBN6D · pith_short_8: 7NEYN3VR

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/7NEYN3VRGKTYBN6DMC4FEKPQ34 \
  | 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: fb4986eeb132a780b7c360b85229f0df35ad627a7895be07d2e43b3d1fa1e779

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdeb97da098b74e4032a393c943704a510d4ed055e32c1c8b085f1f556c10033",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2021-01-08T14:20:03Z",
    "title_canon_sha256": "df9a953e5b9df2e78a1600fa81505f3c289d927dbf28abbcbc129852c0f11e94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.05257",
    "kind": "arxiv",
    "version": 2
  }
}