Pith Number

pith:IFLTHR7R

pith:2010:IFLTHR7RDEV6YMMSRJKVLPLQ7A

not attested not anchored not stored refs pending

Some transcendental functions with an empty exceptional set

D. Marques, F. M. S. Lima

arxiv:1004.1668 v2 · 2010-04-10 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IFLTHR7RDEV6YMMSRJKVLPLQ7A}

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	2026-05-18T03:47:09.036962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

415733c7f1192bec31928a5555bd70f81394319742dd4afb83d5cad982cbcda9

Aliases

arxiv: 1004.1668 · arxiv_version: 1004.1668v2 · doi: 10.48550/arxiv.1004.1668 · pith_short_12: IFLTHR7RDEV6 · pith_short_16: IFLTHR7RDEV6YMMS · pith_short_8: IFLTHR7R

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/IFLTHR7RDEV6YMMSRJKVLPLQ7A \
  | 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: 415733c7f1192bec31928a5555bd70f81394319742dd4afb83d5cad982cbcda9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de04887de7a06c05a4952e4bbed8d9047aada77fc4d98f063cb601cf1bd235ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-04-10T01:15:18Z",
    "title_canon_sha256": "6ce603968ffc7e0d93bbfdaff71534236911100fa756c8bced45a6878449be46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.1668",
    "kind": "arxiv",
    "version": 2
  }
}