Pith Number

pith:TPEPUUTR

pith:2010:TPEPUUTRETZWO26ZHG2DBBILUP

not attested not anchored not stored refs pending

$2$-modified characteristic Fredholm determinants, Hill's method, and the periodic Evans function of Gardne

Kevin Zumbrun

arxiv:1011.5695 v1 · 2010-11-26 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TPEPUUTRETZWO26ZHG2DBBILUP}

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	2026-05-18T04:34:38.647130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bc8fa527124f3676bd939b430850ba3c282dc608ede70f6f1b83f40cd8db243

Aliases

arxiv: 1011.5695 · arxiv_version: 1011.5695v1 · doi: 10.48550/arxiv.1011.5695 · pith_short_12: TPEPUUTRETZW · pith_short_16: TPEPUUTRETZWO26Z · pith_short_8: TPEPUUTR

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/TPEPUUTRETZWO26ZHG2DBBILUP \
  | 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: 9bc8fa527124f3676bd939b430850ba3c282dc608ede70f6f1b83f40cd8db243

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cee822679819061913dd2b6db066ffedfd336af413ff753352ef12fe0fa044f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-11-26T02:39:48Z",
    "title_canon_sha256": "476d8017bbf6d26eadd012d41508faa023bdac7cb3243ee6c21f4809107cd6f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5695",
    "kind": "arxiv",
    "version": 1
  }
}