Pith Number

pith:L7XGM26B

pith:2008:L7XGM26BD5TIIFRGVXTNNPKBFP

not attested not anchored not stored refs pending

Vibration Spectra of the $m$-Tree Fractal

Benjamin Steinhurst, Daniel Ford

arxiv:0812.2867 v1 · 2008-12-15 · math.CA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L7XGM26BD5TIIFRGVXTNNPKBFP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:22:32.025837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fee666bc11f66841626ade6d6bd412bf06d063283d1c2054ded427679961d5b

Aliases

arxiv: 0812.2867 · arxiv_version: 0812.2867v1 · doi: 10.48550/arxiv.0812.2867 · pith_short_12: L7XGM26BD5TI · pith_short_16: L7XGM26BD5TIIFRG · pith_short_8: L7XGM26B

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/L7XGM26BD5TIIFRGVXTNNPKBFP \
  | 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: 5fee666bc11f66841626ade6d6bd412bf06d063283d1c2054ded427679961d5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "148d541f0b2b8dc9f62ae44728162efa760924380245e3f9ff7ab47695d70d11",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2008-12-15T17:13:53Z",
    "title_canon_sha256": "5b930aa3bf46c39b059c021270c39b956ce357885963d6394544771e987b748e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.2867",
    "kind": "arxiv",
    "version": 1
  }
}