Pith Number

pith:HNSHAMAM

pith:2011:HNSHAMAM4WJ5NMWCZX2WG3RBF4

not attested not anchored not stored refs pending

Singular Riemannian metrics, sub-rigidity vs rigidity

Abdelghani Zeghib (UMPA-ENSL), Samir Bekkara (USTO)

arxiv:1104.3657 v1 · 2011-04-19 · 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{HNSHAMAM4WJ5NMWCZX2WG3RBF4}

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	2026-05-18T04:23:55.850655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b6470300ce593d6b2c2cdf5636e212f2fbf7ced157f0ef88667aed07da4d791

Aliases

arxiv: 1104.3657 · arxiv_version: 1104.3657v1 · doi: 10.48550/arxiv.1104.3657 · pith_short_12: HNSHAMAM4WJ5 · pith_short_16: HNSHAMAM4WJ5NMWC · pith_short_8: HNSHAMAM

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/HNSHAMAM4WJ5NMWCZX2WG3RBF4 \
  | 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: 3b6470300ce593d6b2c2cdf5636e212f2fbf7ced157f0ef88667aed07da4d791

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0451425e740c8e53dfad796c697c5ed2e0388a88dd84b15d58ed087bdff9fcb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-04-19T07:24:24Z",
    "title_canon_sha256": "064b13a78ed18b440c962031ef1b4cc966c398415f294f32d0996ac7490a3f9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3657",
    "kind": "arxiv",
    "version": 1
  }
}