Pith Number

pith:LKXL7VMG

pith:2012:LKXL7VMGPJWRAMVTLZZX6NWZ2W

not attested not anchored not stored refs pending

Scattering theory for graphs isomorphic to a homogeneous tree at infinity

Francoise Truc (IF), Yves Colin De Verdi\`ere (IF)

arxiv:1209.1001 v2 · 2012-09-05 · math-ph · math.MP · 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{LKXL7VMGPJWRAMVTLZZX6NWZ2W}

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	2026-05-18T03:25:33.396008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5aaebfd5867a6d1032b35e737f36d9d5a79b7ab6a8e70c20a8dc32e00f828f6c

Aliases

arxiv: 1209.1001 · arxiv_version: 1209.1001v2 · doi: 10.48550/arxiv.1209.1001 · pith_short_12: LKXL7VMGPJWR · pith_short_16: LKXL7VMGPJWRAMVT · pith_short_8: LKXL7VMG

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/LKXL7VMGPJWRAMVTLZZX6NWZ2W \
  | 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: 5aaebfd5867a6d1032b35e737f36d9d5a79b7ab6a8e70c20a8dc32e00f828f6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0dfe521a6f60eb410bd8a27a26377a9734d19854ae3fc2f1ad6aa69884b41d8f",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-09-05T14:57:06Z",
    "title_canon_sha256": "71fa57f5f722ecd0d3b421ac48fa19a38bcd1dfe2ab20cd394ea1e7293aa3238"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1001",
    "kind": "arxiv",
    "version": 2
  }
}