Pith Number

pith:CUGPYC4M

pith:2011:CUGPYC4M7J6XVIQHBNMUKYN5LK

not attested not anchored not stored refs pending

On a strong multiplicity one property for the length spectra of even dimensional compact hyperbolic spaces

Chandrasheel Bhagwat, C.S.Rajan

arxiv:1102.0363 v2 · 2011-02-02 · math.NT · 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{CUGPYC4M7J6XVIQHBNMUKYN5LK}

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	2026-05-18T04:29:53.248623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

150cfc0b8cfa7d7aa2070b594561bd5ab8b5eaed0055cf6ed402b63c3c407a27

Aliases

arxiv: 1102.0363 · arxiv_version: 1102.0363v2 · doi: 10.48550/arxiv.1102.0363 · pith_short_12: CUGPYC4M7J6X · pith_short_16: CUGPYC4M7J6XVIQH · pith_short_8: CUGPYC4M

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/CUGPYC4M7J6XVIQHBNMUKYN5LK \
  | 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: 150cfc0b8cfa7d7aa2070b594561bd5ab8b5eaed0055cf6ed402b63c3c407a27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4a43b03e310ecc1ae36511584f547ed566b595561a3a1d3b2aa8193f41f8128",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-02-02T05:32:38Z",
    "title_canon_sha256": "2aa8c86fe71ad278e0ebd1aba5892e6f78a33842570fad7fbad52ff26a327998"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0363",
    "kind": "arxiv",
    "version": 2
  }
}