Pith Number

pith:5KWRX64X

pith:2010:5KWRX64XYPGNCMS2N4FY2DM7KH

not attested not anchored not stored refs pending

On the Gravitational Inverse Problem

Caren Marzban, Marina Meila, Ulvi Yurtsever

arxiv:1004.4939 v1 · 2010-04-28 · math-ph · gr-qc · math.MP · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5KWRX64XYPGNCMS2N4FY2DM7KH}

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	2026-05-18T02:24:15.614884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eaad1bfb97c3ccd1325a6f0b8d0d9f51d284b50ff7f38070b391783da46f6fe8

Aliases

arxiv: 1004.4939 · arxiv_version: 1004.4939v1 · doi: 10.48550/arxiv.1004.4939 · pith_short_12: 5KWRX64XYPGN · pith_short_16: 5KWRX64XYPGNCMS2 · pith_short_8: 5KWRX64X

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/5KWRX64XYPGNCMS2N4FY2DM7KH \
  | 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: eaad1bfb97c3ccd1325a6f0b8d0d9f51d284b50ff7f38070b391783da46f6fe8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf0d2720ad9a301ee44c5f468e5f3f88214b8e0e0f8838e4740d7fe0f032d813",
    "cross_cats_sorted": [
      "gr-qc",
      "math.MP",
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-04-28T01:19:59Z",
    "title_canon_sha256": "6a52bfcccf0677852da3d54f419faa62adb770f1222539109a8ab59f8bf0bda7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4939",
    "kind": "arxiv",
    "version": 1
  }
}