Pith Number

pith:CT4Z6XKB

pith:2013:CT4Z6XKBB5KCSOMEWDT2UIO4JR

not attested not anchored not stored refs pending

The semiclassical zeta function for geodesic flows on negatively curved manifolds

Fr\'ed\'eric Faure, Masato Tsujii

arxiv:1311.4932 v4 · 2013-11-20 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CT4Z6XKBB5KCSOMEWDT2UIO4JR}

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	2026-05-18T01:02:14.292601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14f99f5d410f54293984b0e7aa21dc4c4b895a1331891dbcb4e67b278a743b35

Aliases

arxiv: 1311.4932 · arxiv_version: 1311.4932v4 · doi: 10.48550/arxiv.1311.4932 · pith_short_12: CT4Z6XKBB5KC · pith_short_16: CT4Z6XKBB5KCSOME · pith_short_8: CT4Z6XKB

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/CT4Z6XKBB5KCSOMEWDT2UIO4JR \
  | 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: 14f99f5d410f54293984b0e7aa21dc4c4b895a1331891dbcb4e67b278a743b35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e40c1990673cfcc3d813de9ecba9bd5bc906689abe2219848fbe44d716c6e17b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-11-20T01:03:45Z",
    "title_canon_sha256": "5cf658cab01fc5f24f553198e4de66982fde1b94538f4d93e29457a1992f92f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4932",
    "kind": "arxiv",
    "version": 4
  }
}