Pith Number

pith:MNHIOUV6

pith:2011:MNHIOUV6M6WUBXXJJ3GMV6Q2CL

not attested not anchored not stored refs pending

Equidistribution of Eisenstein series on convex co-compact hyperbolic manifolds

Colin Guillarmou, Frederic Naud

arxiv:1107.2655 v1 · 2011-07-13 · math.SP · math-ph · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MNHIOUV6M6WUBXXJJ3GMV6Q2CL}

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	2026-05-18T04:18:15.880470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

634e8752be67ad40dee94ecccafa1a12fc949016a8ca8c7cff64249be40a88d3

Aliases

arxiv: 1107.2655 · arxiv_version: 1107.2655v1 · doi: 10.48550/arxiv.1107.2655 · pith_short_12: MNHIOUV6M6WU · pith_short_16: MNHIOUV6M6WUBXXJ · pith_short_8: MNHIOUV6

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/MNHIOUV6M6WUBXXJJ3GMV6Q2CL \
  | 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: 634e8752be67ad40dee94ecccafa1a12fc949016a8ca8c7cff64249be40a88d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c6fd75f5af3ad6bf577151caac4034d89edb4f88a0452619e37ab59e30f2a5d",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-07-13T20:00:21Z",
    "title_canon_sha256": "3e9c8b0187b664c7c9719f595447163fc138e165bfd8b94766ba46511527b43f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2655",
    "kind": "arxiv",
    "version": 1
  }
}