Pith Number

pith:DVO3TUP2

pith:2019:DVO3TUP2JF6HYS7TRKE7JKPQHO

not attested not anchored not stored refs pending

On Derivative Euler Phi Function Set-Graphs

Eunice Gogo Mphako-Banda, Johan Kok, Sudev Naduvath

arxiv:1901.11135 v1 · 2019-01-28 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DVO3TUP2JF6HYS7TRKE7JKPQHO}

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	2026-05-17T23:55:02.581359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d5db9d1fa497c7c4bf38a89f4a9f03ba892626be080c7f2838bb2a10f9e4738

Aliases

arxiv: 1901.11135 · arxiv_version: 1901.11135v1 · doi: 10.48550/arxiv.1901.11135 · pith_short_12: DVO3TUP2JF6H · pith_short_16: DVO3TUP2JF6HYS7T · pith_short_8: DVO3TUP2

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/DVO3TUP2JF6HYS7TRKE7JKPQHO \
  | 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: 1d5db9d1fa497c7c4bf38a89f4a9f03ba892626be080c7f2838bb2a10f9e4738

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "914007ea8afac09a82096a4411e7cf9316b3550a5248c1a97d6fe6baa3438da2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2019-01-28T02:06:26Z",
    "title_canon_sha256": "a226255e72c93d6f6f7fd93884e68ddc55b722d0dc3bc7c9821a6a3ba9abb37e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.11135",
    "kind": "arxiv",
    "version": 1
  }
}