Pith Number

pith:LWJOZNUX

pith:2015:LWJOZNUX3W2V7IVHPURSAC3CQS

not attested not anchored not stored refs pending

Distorted plane waves on manifolds of nonpositive curvature

Maxime Ingremeau

arxiv:1512.06818 v2 · 2015-12-21 · math-ph · math.AP · 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{LWJOZNUX3W2V7IVHPURSAC3CQS}

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	2026-05-18T00:55:58.370119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d92ecb697ddb55fa2a77d23200b6284bbda24843df4781eeb123f72bba7088b

Aliases

arxiv: 1512.06818 · arxiv_version: 1512.06818v2 · doi: 10.48550/arxiv.1512.06818 · pith_short_12: LWJOZNUX3W2V · pith_short_16: LWJOZNUX3W2V7IVH · pith_short_8: LWJOZNUX

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/LWJOZNUX3W2V7IVHPURSAC3CQS \
  | 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: 5d92ecb697ddb55fa2a77d23200b6284bbda24843df4781eeb123f72bba7088b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "daf6b49f087b4d3e64ed1aed16411eb791ef895df51170412b5d8932e7349f3f",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-12-21T20:41:18Z",
    "title_canon_sha256": "c3ff8daa7fb531ae26491171dce2d7c3b9b66d033a29ae191153e6c892bb24a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06818",
    "kind": "arxiv",
    "version": 2
  }
}