Pith Number

pith:NHXO2RAV

pith:2012:NHXO2RAV4JZ2HNLX6B33B6QTWU

not attested not anchored not stored refs pending

Gravitational Field Inside and Near a Caustic Ring

Heywood Tam

arxiv:1205.1260 v1 · 2012-05-07 · astro-ph.CO · 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{NHXO2RAV4JZ2HNLX6B33B6QTWU}

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	2026-05-18T03:56:11.667670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69eeed4415e273a3b577f077b0fa13b5347def593f15d3aaa23ffd055fa20b9e

Aliases

arxiv: 1205.1260 · arxiv_version: 1205.1260v1 · doi: 10.48550/arxiv.1205.1260 · pith_short_12: NHXO2RAV4JZ2 · pith_short_16: NHXO2RAV4JZ2HNLX · pith_short_8: NHXO2RAV

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/NHXO2RAV4JZ2HNLX6B33B6QTWU \
  | 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: 69eeed4415e273a3b577f077b0fa13b5347def593f15d3aaa23ffd055fa20b9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72730503716db95e06f86d6ad37881c98346bb360744614e9b26a3e9fe11dab6",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-05-07T00:36:55Z",
    "title_canon_sha256": "53388e138c9b51ec5606ce4d9deae2722ac06b0661ca6d378652e031821ec434"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1260",
    "kind": "arxiv",
    "version": 1
  }
}