Pith Number

pith:RJ3KM3OX

pith:2009:RJ3KM3OXAXRPZWSPWDC7YZHQUM

not attested not anchored not stored refs pending

Gallot-Tanno Theorem for closed incomplete pseudo-Riemannian manifolds and applications

Pierre Mounoud (IMB), Vladimir S. Matveev

arxiv:0909.5344 v2 · 2009-09-29 · 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{RJ3KM3OXAXRPZWSPWDC7YZHQUM}

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	2026-05-18T04:02:25.414964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a76a66dd705e2fcda4fb0c5fc64f0a3177c33e68b97629855162dacaa01c92c

Aliases

arxiv: 0909.5344 · arxiv_version: 0909.5344v2 · doi: 10.48550/arxiv.0909.5344 · pith_short_12: RJ3KM3OXAXRP · pith_short_16: RJ3KM3OXAXRPZWSP · pith_short_8: RJ3KM3OX

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/RJ3KM3OXAXRPZWSPWDC7YZHQUM \
  | 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: 8a76a66dd705e2fcda4fb0c5fc64f0a3177c33e68b97629855162dacaa01c92c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "418ca16551828865fcd8b9f5ec07e567322b5731ea6c6a952cff2c0e0c44a45c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-09-29T13:55:00Z",
    "title_canon_sha256": "22482bfea4a40bf3f5e610bae4535d5ccd0d67dd7c6fb9130304bd66aaae6aa7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.5344",
    "kind": "arxiv",
    "version": 2
  }
}