Pith Number

pith:EPS6H7SM

pith:2015:EPS6H7SME6Z34FWVESAA7YI7VQ

not attested not anchored not stored refs pending

Power Series with Binomial Sums and Asymptotic Expansions

Khristo N. Boyadzhiev

arxiv:1501.04256 v1 · 2015-01-18 · 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{EPS6H7SME6Z34FWVESAA7YI7VQ}

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	2026-05-18T01:02:59.505549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23e5e3fe4c27b3be16d524800fe11fac264828fac49d0b3e3dcbc7b5c024be47

Aliases

arxiv: 1501.04256 · arxiv_version: 1501.04256v1 · doi: 10.48550/arxiv.1501.04256 · pith_short_12: EPS6H7SME6Z3 · pith_short_16: EPS6H7SME6Z34FWV · pith_short_8: EPS6H7SM

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/EPS6H7SME6Z34FWVESAA7YI7VQ \
  | 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: 23e5e3fe4c27b3be16d524800fe11fac264828fac49d0b3e3dcbc7b5c024be47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c55eaf685711c33f007d2eb3953c882ce6caa9865ba2519291b981c489c0e41",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-01-18T02:31:35Z",
    "title_canon_sha256": "71c2eee9d43e6fa27fc9574ea8115ca92e5be4c73e29276b2cc277ab88669133"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04256",
    "kind": "arxiv",
    "version": 1
  }
}