Pith Number

pith:HQ36T6N2

pith:2015:HQ36T6N2TZJ7VLCBYE7C2AGZYN

not attested not anchored not stored refs pending

Approximations for the natural logarithm from solenoid-toroid correspondence

Ibrahim Semiz

arxiv:1503.03830 v1 · 2015-03-12 · physics.pop-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HQ36T6N2TZJ7VLCBYE7C2AGZYN}

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	2026-05-18T02:24:27.163994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c37e9f9ba9e53faac41c13e2d00d9c34ce02d31aaea22c2e62900cee42353eb

Aliases

arxiv: 1503.03830 · arxiv_version: 1503.03830v1 · doi: 10.48550/arxiv.1503.03830 · pith_short_12: HQ36T6N2TZJ7 · pith_short_16: HQ36T6N2TZJ7VLCB · pith_short_8: HQ36T6N2

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/HQ36T6N2TZJ7VLCBYE7C2AGZYN \
  | 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: 3c37e9f9ba9e53faac41c13e2d00d9c34ce02d31aaea22c2e62900cee42353eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27dd079c95f8de0fe6828f838568e7fc496e8af8f0873d62fc08e74c77c391fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.pop-ph",
    "submitted_at": "2015-03-12T17:59:19Z",
    "title_canon_sha256": "385ea2dda0497a280ff7676510f924746595d2c521c73973b5326fd2862b9da5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03830",
    "kind": "arxiv",
    "version": 1
  }
}