Pith Number

pith:D6ELJM55

pith:2013:D6ELJM55FJKENKYGNUHDOR34U5

not attested not anchored not stored refs pending

A coupling problem for entire functions and its application to the long-time asymptotics of integrable wave equations

Gerald Teschl, Jonathan Eckhardt

arxiv:1305.2487 v2 · 2013-05-11 · nlin.SI · math-ph · math.AP · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D6ELJM55FJKENKYGNUHDOR34U5}

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	2026-05-18T01:21:20.071775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f88b4b3bd2a5446ab066d0e37477ca77a362e7f3ccde742e63fc1c7c1ffc6b1

Aliases

arxiv: 1305.2487 · arxiv_version: 1305.2487v2 · doi: 10.48550/arxiv.1305.2487 · pith_short_12: D6ELJM55FJKE · pith_short_16: D6ELJM55FJKENKYG · pith_short_8: D6ELJM55

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/D6ELJM55FJKENKYGNUHDOR34U5 \
  | 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: 1f88b4b3bd2a5446ab066d0e37477ca77a362e7f3ccde742e63fc1c7c1ffc6b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68c6d05069deb92b3fa7931e6ac913940fa03eb3593bdd72deb217dc0a7566e6",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2013-05-11T09:46:01Z",
    "title_canon_sha256": "ef3f0bb80feb6db3befd7ef8ddb056567144b1eace505f0afe27f3b731e2e567"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2487",
    "kind": "arxiv",
    "version": 2
  }
}