Pith Number

pith:F6XK2HHN

pith:2021:F6XK2HHNTN3VQUQYGJPCSXUOXE

not attested not anchored not stored refs pending

The characteristic gluing problem for the Einstein equations and applications

Igor Rodnianski, Stefan Czimek, Stefanos Aretakis

arxiv:2107.02441 v1 · 2021-07-06 · gr-qc · math-ph · math.AP · math.DG · 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{F6XK2HHNTN3VQUQYGJPCSXUOXE}

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

Surg-InvNeRF: Invertible NeRF for 3D tracking and reconstruction in surgical vision

Receipt and verification

First computed	2026-07-05T02:55:20.724024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2faead1ced9b77585218325e295e8eb933cef99cf36eeb2432ebd67bdd6e8cd5

Aliases

arxiv: 2107.02441 · arxiv_version: 2107.02441v1 · doi: 10.48550/arxiv.2107.02441 · pith_short_12: F6XK2HHNTN3V · pith_short_16: F6XK2HHNTN3VQUQY · pith_short_8: F6XK2HHN

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/F6XK2HHNTN3VQUQYGJPCSXUOXE \
  | 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: 2faead1ced9b77585218325e295e8eb933cef99cf36eeb2432ebd67bdd6e8cd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59e343364eee5765a4fd521469fee3a34999cb8f065ea1cc1d7b4f38eb1e50b2",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-07-06T07:39:14Z",
    "title_canon_sha256": "4e70cbc425480d675565a81f9f666c48558453a4b9eacb3c536ee3a03d0883cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.02441",
    "kind": "arxiv",
    "version": 1
  }
}