Pith Number

pith:IAU6FYAY

pith:2011:IAU6FYAYO43SJFVZN6AGE7FYWM

not attested not anchored not stored refs pending

Complex-type numbers and generalizations of the Euler identity

D. Babusci, E. Di Palma, E. Sabia, G. Dattoli

arxiv:1103.2321 v1 · 2011-03-11 · math.CA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IAU6FYAYO43SJFVZN6AGE7FYWM}

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	2026-05-18T04:26:55.399796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4029e2e01877372496b96f80627cb8b301f2ea0ce1dd131103a1f51e182d59ae

Aliases

arxiv: 1103.2321 · arxiv_version: 1103.2321v1 · doi: 10.48550/arxiv.1103.2321 · pith_short_12: IAU6FYAYO43S · pith_short_16: IAU6FYAYO43SJFVZ · pith_short_8: IAU6FYAY

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/IAU6FYAYO43SJFVZN6AGE7FYWM \
  | 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: 4029e2e01877372496b96f80627cb8b301f2ea0ce1dd131103a1f51e182d59ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b332763e9729419a76d6cbc582db4c23a65ed85a3cbd4ac5c7eb34d071260f0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-03-11T17:26:40Z",
    "title_canon_sha256": "d9302a50ec9a7106b914d2c4fbea5632c52086ceead0f17ec60953014ecf96fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2321",
    "kind": "arxiv",
    "version": 1
  }
}