Pith Number

pith:4OAYE6HP

pith:2015:4OAYE6HPDZMUY4KMGQMVKN6QQE

not attested not anchored not stored refs pending

Summation of p-Adic Functional Series in Integer Points

Andrei Yu. Khrennikov, Branko Dragovich, Natasa Z. Misic

arxiv:1508.05079 v1 · 2015-08-19 · math.NT · math-ph · math.CA · 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{4OAYE6HPDZMUY4KMGQMVKN6QQE}

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	2026-05-18T00:44:37.297974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3818278ef1e594c714c34195537d0813269b16dba72c347ac20d3aec3113108

Aliases

arxiv: 1508.05079 · arxiv_version: 1508.05079v1 · doi: 10.48550/arxiv.1508.05079 · pith_short_12: 4OAYE6HPDZMU · pith_short_16: 4OAYE6HPDZMUY4KM · pith_short_8: 4OAYE6HP

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/4OAYE6HPDZMUY4KMGQMVKN6QQE \
  | 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: e3818278ef1e594c714c34195537d0813269b16dba72c347ac20d3aec3113108

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bff5401f39c63db7cb19c56a5c32202521ccc6fbf74de32febbc6d83181918c",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-08-19T12:40:23Z",
    "title_canon_sha256": "9277125e5a8f5df027a00f04d16ad429663b96ace45ce217e04d30168641b2d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05079",
    "kind": "arxiv",
    "version": 1
  }
}