Pith Number

pith:PF7IR5KF

pith:2020:PF7IR5KFHXIGUOOOPDEE4YKTR3

not attested not anchored not stored refs pending

On the Application of Numerical Methods to Hallen's Equation: The Case of a Lossy Medium

Christos Mystilidis, George Fikioris, Panagiotis J. Papakanellos, Themistoklis K. Mavrogordatos

arxiv:2001.06080 v1 · 2020-01-16 · physics.comp-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{PF7IR5KFHXIGUOOOPDEE4YKTR3}

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	2026-07-05T00:34:06.574741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

797e88f5453dd06a39ce78c84e61538ee675f1f1dcc04e61b038a51d84425935

Aliases

arxiv: 2001.06080 · arxiv_version: 2001.06080v1 · doi: 10.48550/arxiv.2001.06080 · pith_short_12: PF7IR5KFHXIG · pith_short_16: PF7IR5KFHXIGUOOO · pith_short_8: PF7IR5KF

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/PF7IR5KFHXIGUOOOPDEE4YKTR3 \
  | 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: 797e88f5453dd06a39ce78c84e61538ee675f1f1dcc04e61b038a51d84425935

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "394783469c4edd16ce011eec8568b650ec811073e049b920188e8ef5cb8f3fa3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2020-01-16T21:35:50Z",
    "title_canon_sha256": "020b95b59eff26423155f120f61bf78d2d8ad95f31aa1995a600f090c920d77b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.06080",
    "kind": "arxiv",
    "version": 1
  }
}