Pith Number

pith:YC4G3GFY

pith:2017:YC4G3GFYFPFZBFHI4E6W24JBVL

not attested not anchored not stored refs pending

Four Lectures on Weierstrass Elliptic Function and Applications in Classical and Quantum Mechanics

Georgios Pastras

arxiv:1706.07371 v2 · 2017-06-19 · math-ph · hep-th · 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{YC4G3GFYFPFZBFHI4E6W24JBVL}

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	2026-05-18T00:35:55.100682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0b86d98b82bcb9094e8e13d6d7121aae22e8d2237b076a4269c9d8570443dd9

Aliases

arxiv: 1706.07371 · arxiv_version: 1706.07371v2 · doi: 10.48550/arxiv.1706.07371 · pith_short_12: YC4G3GFYFPFZ · pith_short_16: YC4G3GFYFPFZBFHI · pith_short_8: YC4G3GFY

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/YC4G3GFYFPFZBFHI4E6W24JBVL \
  | 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: c0b86d98b82bcb9094e8e13d6d7121aae22e8d2237b076a4269c9d8570443dd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c0529256f810192b618f549d5ea753a71eff87ac255dcad609fbb6c2833a9d5",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-06-19T10:16:23Z",
    "title_canon_sha256": "1080001e4cccb0f424bf14c84ca27f8e9f6f73b9bff1025535bfe9a2af4b94bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.07371",
    "kind": "arxiv",
    "version": 2
  }
}