Pith Number

pith:ALCPOBIO

pith:2005:ALCPOBIOLZOAIGMVCWFFDTVZGW

not attested not anchored not stored refs pending

Spectral zeta functions of fractals and the complex dynamics of polynomials

Alexander Teplyaev

arxiv:math/0505546 v2 · 2005-05-25 · math.SP · math-ph · math.DS · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ALCPOBIOLZOAIGMVCWFFDTVZGW}

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	2026-05-18T00:12:07.018749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02c4f7050e5e5c041995158a51ceb935a25cdea34694373aa3d616258da00b6c

Aliases

arxiv: math/0505546 · arxiv_version: math/0505546v2 · doi: 10.48550/arxiv.math/0505546 · pith_short_12: ALCPOBIOLZOA · pith_short_16: ALCPOBIOLZOAIGMV · pith_short_8: ALCPOBIO

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/ALCPOBIOLZOAIGMVCWFFDTVZGW \
  | 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: 02c4f7050e5e5c041995158a51ceb935a25cdea34694373aa3d616258da00b6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4157b9f6611d91353f0e7c2ca0951b17acbdfc05c0265928f26b294105cd8068",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.SP",
    "submitted_at": "2005-05-25T16:19:08Z",
    "title_canon_sha256": "c144df29896c04b04c0feb524d41f0d6bf64ccc8b8ec9a220bb1864abd7e8209"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0505546",
    "kind": "arxiv",
    "version": 2
  }
}