Pith Number

pith:MKCXMXX3

pith:2017:MKCXMXX3WESIOQ6EYP73WKCZ2I

not attested not anchored not stored refs pending

The Green function for waves on the $2$-regular Bethe lattice

Gilles Lebeau, Ka\"is Ammari

arxiv:1711.01363 v1 · 2017-11-03 · 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{MKCXMXX3WESIOQ6EYP73WKCZ2I}

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	2026-05-18T00:31:18.059269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6285765efbb1248743c4c3ffbb2859d22954f69637a26c7d937383a924ec0313

Aliases

arxiv: 1711.01363 · arxiv_version: 1711.01363v1 · doi: 10.48550/arxiv.1711.01363 · pith_short_12: MKCXMXX3WESI · pith_short_16: MKCXMXX3WESIOQ6E · pith_short_8: MKCXMXX3

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/MKCXMXX3WESIOQ6EYP73WKCZ2I \
  | 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: 6285765efbb1248743c4c3ffbb2859d22954f69637a26c7d937383a924ec0313

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd25d03f5407f19ab61efb9d4af291c1b1059b82b6d19686a73ec2352fbffc69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-11-03T23:57:29Z",
    "title_canon_sha256": "169a075972497784616ef7fcc93c5a19b00605b775dfb472d2d8459f595d5b25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.01363",
    "kind": "arxiv",
    "version": 1
  }
}