Pith Number

pith:FMMZUN4J

pith:2001:FMMZUN4JEM7KPFJCAV7LAM4M7X

not attested not anchored not stored refs pending

The Anomalous Trajectories of the Pioneer Spacecraft

Eunice L. Lau, John D. Anderson, Michael Martin Nieto, Philip A. Laing, Slava G. Turyshev

arxiv:hep-ph/0110373 v1 · 2001-10-29 · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FMMZUN4JEM7KPFJCAV7LAM4M7X}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:36:57.202423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b199a3789233ea79522057eb0338cfdc3cd3be6d342f43a4f70fc7ca40815cb

Aliases

arxiv: hep-ph/0110373 · arxiv_version: hep-ph/0110373v1 · doi: 10.48550/arxiv.hep-ph/0110373 · pith_short_12: FMMZUN4JEM7K · pith_short_16: FMMZUN4JEM7KPFJC · pith_short_8: FMMZUN4J

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/FMMZUN4JEM7KPFJCAV7LAM4M7X \
  | 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: 2b199a3789233ea79522057eb0338cfdc3cd3be6d342f43a4f70fc7ca40815cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6261151241ad84d28d84c611c8a58e433a5a21731ffa2f5e478c1239343877dd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2001-10-29T16:53:34Z",
    "title_canon_sha256": "4dd008963a03f22947af818b03ff94ab89ab889d2f0fe8571f6cd85fc5230694"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0110373",
    "kind": "arxiv",
    "version": 1
  }
}