Pith Number

pith:6E7NQ5E7

pith:2012:6E7NQ5E7WC5I5CF2VBXVIASUOX

not attested not anchored not stored refs pending

On the asymptotic behavior of Einstein manifolds with an integral bound on the Weyl curvature

Dandan Ji, Romain Gicquaud, Yuguang Shi

arxiv:1210.1005 v1 · 2012-10-03 · math.DG · gr-qc · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6E7NQ5E7WC5I5CF2VBXVIASUOX}

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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	2026-05-18T03:44:13.093918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f13ed8749fb0ba8e88baa86f54025475f85c673a34541e221c458d6028f4c484

Aliases

arxiv: 1210.1005 · arxiv_version: 1210.1005v1 · doi: 10.48550/arxiv.1210.1005 · pith_short_12: 6E7NQ5E7WC5I · pith_short_16: 6E7NQ5E7WC5I5CF2 · pith_short_8: 6E7NQ5E7

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/6E7NQ5E7WC5I5CF2VBXVIASUOX \
  | 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: f13ed8749fb0ba8e88baa86f54025475f85c673a34541e221c458d6028f4c484

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ac723a91820600d7294280d333c72cceec4817e190ae6004d887ff6c628e231",
    "cross_cats_sorted": [
      "gr-qc",
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-10-03T06:48:23Z",
    "title_canon_sha256": "de9b034e6e17d315ef27abdf80962058d67dbc6ce88f2ef45b05177e8e52e6e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1005",
    "kind": "arxiv",
    "version": 1
  }
}