Pith Number

pith:TL4KA2M2

pith:2005:TL4KA2M2OMGDSXW76ZVALHCNW7

not attested not anchored not stored refs pending

Spectra of differentiable hyperbolic maps

Masato Tsujii, Viviane Baladi

arxiv:math/0509369 v3 · 2005-09-16 · math.DS · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TL4KA2M2OMGDSXW76ZVALHCNW7}

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	2026-05-18T01:05:23.145031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9af8a0699a730c395edff66a059c4db7d9dacb3a36f21164e6de827836d2ba2d

Aliases

arxiv: math/0509369 · arxiv_version: math/0509369v3 · doi: 10.48550/arxiv.math/0509369 · pith_short_12: TL4KA2M2OMGD · pith_short_16: TL4KA2M2OMGDSXW7 · pith_short_8: TL4KA2M2

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/TL4KA2M2OMGDSXW76ZVALHCNW7 \
  | 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: 9af8a0699a730c395edff66a059c4db7d9dacb3a36f21164e6de827836d2ba2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb7bc0f78afd411aa5b19424ff3e1f475a8ba67204595f515b68fa996b85103a",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2005-09-16T08:53:49Z",
    "title_canon_sha256": "a02b0d63c5f7a2eef385279e56e5b4460520cdfdc5f20497596fdbbcef7fa1e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509369",
    "kind": "arxiv",
    "version": 3
  }
}