Pith Number

pith:AJGLQUXP

pith:2009:AJGLQUXPLHA6RRKJJ4SOGFNYGJ

not attested not anchored not stored refs pending

On the semi-Riemannian bumpy metric theorem

Leonardo Biliotti, Miguel Angel Javaloyes, Paolo Piccione

arxiv:0907.4022 v1 · 2009-07-23 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AJGLQUXPLHA6RRKJJ4SOGFNYGJ}

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	2026-05-18T02:58:02.932122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

024cb852ef59c1e8c5494f24e315b8327a3d5bc08fa3f4a8e346e2c5c0859ae2

Aliases

arxiv: 0907.4022 · arxiv_version: 0907.4022v1 · doi: 10.48550/arxiv.0907.4022 · pith_short_12: AJGLQUXPLHA6 · pith_short_16: AJGLQUXPLHA6RRKJ · pith_short_8: AJGLQUXP

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/AJGLQUXPLHA6RRKJJ4SOGFNYGJ \
  | 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: 024cb852ef59c1e8c5494f24e315b8327a3d5bc08fa3f4a8e346e2c5c0859ae2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a454ffe6141fe344d23b62880738b9bda1ef2a189f3e71c4084f034bc7564a12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-07-23T09:56:12Z",
    "title_canon_sha256": "4cfd4a1b0f3aab752b4980e29bc393f13f06459014b9ff4499f5651e9a45d70d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.4022",
    "kind": "arxiv",
    "version": 1
  }
}