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Pith Number

pith:6J7K5F3Y

pith:2015:6J7K5F3Y4NXU373PKOO4WI7Y7S
not attested not anchored not stored refs pending

The fate of Hamilton's Hodograph in Special and General Relativity

G.W. Gibbons

arxiv:1509.01286 v2 · 2015-09-03 · gr-qc · hep-th · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{6J7K5F3Y4NXU373PKOO4WI7Y7S}

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 2026-05-18T01:32:26.602819Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f27eae9778e36f4dff6f539dcb23f8fcae079efed5bef9e1bbe808e8f4b452a0

Aliases

arxiv: 1509.01286 · arxiv_version: 1509.01286v2 · doi: 10.48550/arxiv.1509.01286 · pith_short_12: 6J7K5F3Y4NXU · pith_short_16: 6J7K5F3Y4NXU373P · pith_short_8: 6J7K5F3Y
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/6J7K5F3Y4NXU373PKOO4WI7Y7S \
  | 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: f27eae9778e36f4dff6f539dcb23f8fcae079efed5bef9e1bbe808e8f4b452a0
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6a51b9016cd7c4fc793687b3af9c2d8ecf58834e7f7d5f1d48072769de5f1282",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-09-03T21:46:58Z",
    "title_canon_sha256": "71788c50be50b6a63521530a6d2d799d02c83a930d134ae0ee8b1d111681ef54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01286",
    "kind": "arxiv",
    "version": 2
  }
}