Pith Number

pith:ACVCZILX

pith:2006:ACVCZILX2EYA3H6EAGV3R2VA76

not attested not anchored not stored refs pending

Wave 0-Trace and length spectrum on convex co-compact hyperbolic manifolds

Colin Guillarmou, Frederic Naud

arxiv:math/0606223 v2 · 2006-06-09 · math.DG · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ACVCZILX2EYA3H6EAGV3R2VA76}

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	2026-05-18T03:56:43.974863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00aa2ca177d1300d9fc401abb8eaa0ff9baa4fff0e95df972a7a84bf286a56aa

Aliases

arxiv: math/0606223 · arxiv_version: math/0606223v2 · doi: 10.48550/arxiv.math/0606223 · pith_short_12: ACVCZILX2EYA · pith_short_16: ACVCZILX2EYA3H6E · pith_short_8: ACVCZILX

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/ACVCZILX2EYA3H6EAGV3R2VA76 \
  | 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: 00aa2ca177d1300d9fc401abb8eaa0ff9baa4fff0e95df972a7a84bf286a56aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a17288745082121f21247d7b19a70720818e08fa99d101d544329962ac166d34",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2006-06-09T16:03:43Z",
    "title_canon_sha256": "66f799a609fb9137cd691a7d17d44470935db28977569f789501acf00e702023"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0606223",
    "kind": "arxiv",
    "version": 2
  }
}