Pith Number

pith:NNCSLIEP

pith:2009:NNCSLIEPY72BRZVPL4GJDMTPYY

not attested not anchored not stored refs pending

Rigidity and $L^2$ cohomology of hyperbolic manifolds

Gilles Carron (LMJL)

arxiv:0910.5887 v1 · 2009-10-30 · 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{NNCSLIEPY72BRZVPL4GJDMTPYY}

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	2026-05-18T02:49:54.360550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b4525a08fc7f418e6af5f0c91b26fc601c5e34c678ada271b021f487519f3ea

Aliases

arxiv: 0910.5887 · arxiv_version: 0910.5887v1 · doi: 10.48550/arxiv.0910.5887 · pith_short_12: NNCSLIEPY72B · pith_short_16: NNCSLIEPY72BRZVP · pith_short_8: NNCSLIEP

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/NNCSLIEPY72BRZVPL4GJDMTPYY \
  | 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: 6b4525a08fc7f418e6af5f0c91b26fc601c5e34c678ada271b021f487519f3ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "523a2eb6d081cc21b79338edd82b8f258481ce59f0bb4ef5210193e7819e2a03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-10-30T14:56:06Z",
    "title_canon_sha256": "17d97e989b557b85516f58e1dc0367b3c601cee39541eae4e5aae4a79968ce97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.5887",
    "kind": "arxiv",
    "version": 1
  }
}