Pith Number

pith:ZZ3KBYMK

pith:2015:ZZ3KBYMK2G5SC55Y4CBYK5ZJ57

not attested not anchored not stored refs pending

On the periodic and asymptotically periodic nonlinear Helmholtz equation

Gilles Ev\'equoz

arxiv:1510.08347 v2 · 2015-10-28 · 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{ZZ3KBYMK2G5SC55Y4CBYK5ZJ57}

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	2026-05-18T01:04:50.386069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce76a0e18ad1bb2177b8e083857729eff8714f19e750fee099ded7acacf06942

Aliases

arxiv: 1510.08347 · arxiv_version: 1510.08347v2 · doi: 10.48550/arxiv.1510.08347 · pith_short_12: ZZ3KBYMK2G5S · pith_short_16: ZZ3KBYMK2G5SC55Y · pith_short_8: ZZ3KBYMK

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/ZZ3KBYMK2G5SC55Y4CBYK5ZJ57 \
  | 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: ce76a0e18ad1bb2177b8e083857729eff8714f19e750fee099ded7acacf06942

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8955b0e6f63048c7da718af732ba0cd0ca317ae5b9b8ed9b6bc15217b76f28b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-10-28T15:31:13Z",
    "title_canon_sha256": "724495e9ff7f44a73ff7f585efd4e373405f767b1fe3d9997ffc9c883a69b8dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08347",
    "kind": "arxiv",
    "version": 2
  }
}