Pith Number

pith:FY5Q4FUH

pith:2018:FY5Q4FUHQQW6IITDUWZYTZHKUL

not attested not anchored not stored refs pending

Resonances near the real axis for manifolds with hyperbolic trapped sets

Emmanuel Schenck

arxiv:1806.06745 v1 · 2018-06-18 · math.AP · 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{FY5Q4FUHQQW6IITDUWZYTZHKUL}

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	2026-05-18T00:12:59.219520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e3b0e1687842de42263a5b389e4eaa2d3e23bb5be680527672e6025d37d96a3

Aliases

arxiv: 1806.06745 · arxiv_version: 1806.06745v1 · doi: 10.48550/arxiv.1806.06745 · pith_short_12: FY5Q4FUHQQW6 · pith_short_16: FY5Q4FUHQQW6IITD · pith_short_8: FY5Q4FUH

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/FY5Q4FUHQQW6IITDUWZYTZHKUL \
  | 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: 2e3b0e1687842de42263a5b389e4eaa2d3e23bb5be680527672e6025d37d96a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06b36213e4bd0df98bf7ebd2619886c228b980af46e80c2ad9aae452f98bb941",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-06-18T14:54:46Z",
    "title_canon_sha256": "4abaf92131df2b5764840a3390ce29f922053df793632975542e7213fd3b3030"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.06745",
    "kind": "arxiv",
    "version": 1
  }
}