Pith Number

pith:FEZH5O5P

pith:2011:FEZH5O5PZQQRMHVYM6CAE7E6AB

not attested not anchored not stored refs pending

The Application of Weierstrass elliptic functions to Schwarzschild Null Geodesics

G. W. Gibbons, M. Vyska

arxiv:1110.6508 v2 · 2011-10-29 · gr-qc · hep-th · math-ph · 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{FEZH5O5PZQQRMHVYM6CAE7E6AB}

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	2026-05-18T01:59:50.229666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29327ebbafcc21161eb86784027c9e0070aa3226b04518ab774554489ae3cac1

Aliases

arxiv: 1110.6508 · arxiv_version: 1110.6508v2 · doi: 10.48550/arxiv.1110.6508 · pith_short_12: FEZH5O5PZQQR · pith_short_16: FEZH5O5PZQQRMHVY · pith_short_8: FEZH5O5P

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/FEZH5O5PZQQRMHVYM6CAE7E6AB \
  | 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: 29327ebbafcc21161eb86784027c9e0070aa3226b04518ab774554489ae3cac1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "534b3e517ff75fc6ea0a6ad94185b177582d3a3f64b8f672c0dc5d805f9caf46",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-10-29T09:04:07Z",
    "title_canon_sha256": "28be33e1b763eb54b6bda0a783ad5775c2e153eff4643b33381e2183ea40e92e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6508",
    "kind": "arxiv",
    "version": 2
  }
}