Pith Number

pith:IHRRP5GU

pith:2009:IHRRP5GU7IOIE24DD25ERUXRZS

not attested not anchored not stored refs pending

Morse theory of causal geodesics in a stationary spacetime via Morse theory of geodesics of a Finsler metric

Antonio Masiello, Erasmo Caponio, Miguel Angel Javaloyes

arxiv:0903.3519 v5 · 2009-03-20 · math.DG · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IHRRP5GU7IOIE24DD25ERUXRZS}

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.

Cited by

1 paper in Pith

Massive particle surfaces and black hole shadows from intrinsic curvature

Receipt and verification

First computed	2026-05-18T03:40:51.750328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41e317f4d4fa1c826b831eba48d2f1ccbaa57a96242696a8e0203012e674c0cb

Aliases

arxiv: 0903.3519 · arxiv_version: 0903.3519v5 · doi: 10.48550/arxiv.0903.3519 · pith_short_12: IHRRP5GU7IOI · pith_short_16: IHRRP5GU7IOIE24D · pith_short_8: IHRRP5GU

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/IHRRP5GU7IOIE24DD25ERUXRZS \
  | 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: 41e317f4d4fa1c826b831eba48d2f1ccbaa57a96242696a8e0203012e674c0cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7911c502c1a4a7d18fa8a034b0e97c4f7d84d60e749704364e7efc72fe66d044",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-03-20T13:36:05Z",
    "title_canon_sha256": "5ac5f59b4af243796536b71d675d158fc7f155b40b00954d1a21c77234db966a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.3519",
    "kind": "arxiv",
    "version": 5
  }
}