Pith Number

pith:SRRIFIVJ

pith:2016:SRRIFIVJOGOG5K7ZRPUAZKKGB3

not attested not anchored not stored refs pending

A note on the higher derivatives of the function 1/(exp(x) - 1)

Ada, Khristo N. Boyadzhiev (Department of Mathematics, OH), Ohio Northern University, Statistics

arxiv:1612.04365 v1 · 2016-12-09 · 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{SRRIFIVJOGOG5K7ZRPUAZKKGB3}

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	2026-05-18T00:55:04.715168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

946282a2a9719c6eabf98be80ca9460ed5a077f18869c440b854949f255ee9ee

Aliases

arxiv: 1612.04365 · arxiv_version: 1612.04365v1 · doi: 10.48550/arxiv.1612.04365 · pith_short_12: SRRIFIVJOGOG · pith_short_16: SRRIFIVJOGOG5K7Z · pith_short_8: SRRIFIVJ

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/SRRIFIVJOGOG5K7ZRPUAZKKGB3 \
  | 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: 946282a2a9719c6eabf98be80ca9460ed5a077f18869c440b854949f255ee9ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b5616f0542a53bde2a2bcc2eae4e82c5de902cb21bcfd4f025c2d88ad3c20b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2016-12-09T00:38:36Z",
    "title_canon_sha256": "498f26ca70ce67aa9fce80311bccd2f34d67394f9fc29e11d8520ad493958afc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04365",
    "kind": "arxiv",
    "version": 1
  }
}