Pith Number

pith:GFWFBPUJ

pith:2018:GFWFBPUJ2B6ZVH6BCBPNVFMSOY

not attested not anchored not stored refs pending

Lambert W function and hanging chain revisited

Masato Ito

arxiv:1809.07047 v3 · 2018-09-19 · physics.class-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{GFWFBPUJ2B6ZVH6BCBPNVFMSOY}

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	2026-05-17T23:55:55.082874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

316c50be89d07d9a9fc1105eda95927624d41ca6248d841b650ad7a20c88a548

Aliases

arxiv: 1809.07047 · arxiv_version: 1809.07047v3 · doi: 10.48550/arxiv.1809.07047 · pith_short_12: GFWFBPUJ2B6Z · pith_short_16: GFWFBPUJ2B6ZVH6B · pith_short_8: GFWFBPUJ

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/GFWFBPUJ2B6ZVH6BCBPNVFMSOY \
  | 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: 316c50be89d07d9a9fc1105eda95927624d41ca6248d841b650ad7a20c88a548

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f275b2ddff8af3b8ce4e2f79eb2d9f5765864cd7d22ea86f9955d0286791269",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2018-09-19T07:57:35Z",
    "title_canon_sha256": "5db1912690e7d667c87b89b4585e903cf11a897fb16294365a6428b71409338e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.07047",
    "kind": "arxiv",
    "version": 3
  }
}