Pith Number

pith:AJXLJV4E

pith:2018:AJXLJV4EV77TCM5CDERCXA7VSX

not attested not anchored not stored refs pending

Convergence as period goes to infinity of spectra of periodic traveling waves toward essential spectra of a homoclinic limit

Kevin Zumbrun, Zhao Yang

arxiv:1802.02830 v1 · 2018-02-08 · 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{AJXLJV4EV77TCM5CDERCXA7VSX}

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	2026-05-18T00:24:02.971040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

026eb4d784afff3133a219222b83f595f6332b89539e073638a70386f90ae197

Aliases

arxiv: 1802.02830 · arxiv_version: 1802.02830v1 · doi: 10.48550/arxiv.1802.02830 · pith_short_12: AJXLJV4EV77T · pith_short_16: AJXLJV4EV77TCM5C · pith_short_8: AJXLJV4E

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/AJXLJV4EV77TCM5CDERCXA7VSX \
  | 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: 026eb4d784afff3133a219222b83f595f6332b89539e073638a70386f90ae197

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "668bd3b8002df9d9b1613c6b6dab4a227a07a0fdca7aad2e694ecc0ba5d43da7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-02-08T12:39:16Z",
    "title_canon_sha256": "d51b7d5b9f483e49c2ca1bd9f91227e7394034d4c1c651ef984e002b03109c4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.02830",
    "kind": "arxiv",
    "version": 1
  }
}