Pith Number

pith:LT7YDG34

pith:2012:LT7YDG34DHJTTK2SHVNAQHNTAJ

not attested not anchored not stored refs pending

Resonance free regions for nontrapping manifolds with cusps

Kiril Datchev

arxiv:1210.7736 v1 · 2012-10-29 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LT7YDG34DHJTTK2SHVNAQHNTAJ}

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	2026-05-18T00:44:42.824087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cff819b7c19d339ab523d5a081db30279080a2e9ce07698bf28c30cc2e14744

Aliases

arxiv: 1210.7736 · arxiv_version: 1210.7736v1 · doi: 10.48550/arxiv.1210.7736 · pith_short_12: LT7YDG34DHJT · pith_short_16: LT7YDG34DHJTTK2S · pith_short_8: LT7YDG34

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/LT7YDG34DHJTTK2SHVNAQHNTAJ \
  | 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: 5cff819b7c19d339ab523d5a081db30279080a2e9ce07698bf28c30cc2e14744

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e19603d5fac8da5318f7cf0e679be5afb90de65529a64e7fd3d530b58d7a7e9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-29T17:24:08Z",
    "title_canon_sha256": "03ac3b4c763535b8c674c7431b8cfdd779b5cba9a56a3437db627b103f2fabd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7736",
    "kind": "arxiv",
    "version": 1
  }
}