Pith Number

pith:N4OB223X

pith:2010:N4OB223X2BFXWSJ4PP53ZPPUDZ

not attested not anchored not stored refs pending

Asymptotics of ACH-Einstein metrics

Yoshihiko Matsumoto

arxiv:1009.4163 v2 · 2010-09-21 · math.DG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N4OB223X2BFXWSJ4PP53ZPPUDZ}

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	2026-05-18T04:27:47.478202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f1c1d6b77d04b7b493c7bfbbcbdf41e76dc0552217faab4542982a04c4327da

Aliases

arxiv: 1009.4163 · arxiv_version: 1009.4163v2 · doi: 10.48550/arxiv.1009.4163 · pith_short_12: N4OB223X2BFX · pith_short_16: N4OB223X2BFXWSJ4 · pith_short_8: N4OB223X

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/N4OB223X2BFXWSJ4PP53ZPPUDZ \
  | 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: 6f1c1d6b77d04b7b493c7bfbbcbdf41e76dc0552217faab4542982a04c4327da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb06b92de79b0db5b519a2c79f1201862ddedd04add474b0126380721ed5085c",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-09-21T18:05:58Z",
    "title_canon_sha256": "00abc773252c8e1a7427bb1e1916a2e5725cb07978a83091326b47720807ffa8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4163",
    "kind": "arxiv",
    "version": 2
  }
}