Pith Number

pith:UVN6LS6Q

pith:2019:UVN6LS6QZS4LDO4VDBE3ZTDK32

not attested not anchored not stored refs pending

Existence and asymptotics of nonlinear Helmholtz eigenfunctions

Andrew Hassell, Jacob Shapiro, Jesse Gell-Redman, Junyong Zhang

arxiv:1908.04890 v1 · 2019-08-13 · 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{UVN6LS6QZS4LDO4VDBE3ZTDK32}

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	2026-07-04T23:55:57.830839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a55be5cbd0ccb8b1bb951849bccc6ade8e7f4d784e0a44ce9ce0e6c11e54be6c

Aliases

arxiv: 1908.04890 · arxiv_version: 1908.04890v1 · doi: 10.48550/arxiv.1908.04890 · pith_short_12: UVN6LS6QZS4L · pith_short_16: UVN6LS6QZS4LDO4V · pith_short_8: UVN6LS6Q

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/UVN6LS6QZS4LDO4VDBE3ZTDK32 \
  | 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: a55be5cbd0ccb8b1bb951849bccc6ade8e7f4d784e0a44ce9ce0e6c11e54be6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8da8bf3d162ea2cd1063101ecdcc9be1247ba7ddee2ae74670a6a7c875ef1d2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-13T23:53:53Z",
    "title_canon_sha256": "03d905b67f0b19a343c48c9f4d730086f32da5a86ecc1a83c69377ac5e6c6088"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04890",
    "kind": "arxiv",
    "version": 1
  }
}