Pith Number

pith:CQNLPAFT

pith:2007:CQNLPAFTZCHBV6BCZQWC46BV7V

not attested not anchored not stored refs pending

Distributions of length multiplicities for negatively curved locally symmetric Riemannian manifolds

Yasufumi Hashimoto

arxiv:math/0701239 v3 · 2007-01-09 · math.SP · math.NT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CQNLPAFTZCHBV6BCZQWC46BV7V}

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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	2026-05-18T02:27:41.513495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

141ab780b3c88e1af822cc2c2e7835fd5011e86c5db1ddf033703e8410079ee7

Aliases

arxiv: math/0701239 · arxiv_version: math/0701239v3 · doi: 10.48550/arxiv.math/0701239 · pith_short_12: CQNLPAFTZCHB · pith_short_16: CQNLPAFTZCHBV6BC · pith_short_8: CQNLPAFT

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/CQNLPAFTZCHBV6BCZQWC46BV7V \
  | 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: 141ab780b3c88e1af822cc2c2e7835fd5011e86c5db1ddf033703e8410079ee7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3259b28f6db584e4c2cd65db85ad90793d30d004f8456b1a8c0e31b9c1e8d68",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2007-01-09T02:17:54Z",
    "title_canon_sha256": "58af04537e8b3665dcec983b67ed978eb476c4533106124658760b436bc66af7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701239",
    "kind": "arxiv",
    "version": 3
  }
}