Pith Number

pith:AILK3YWK

pith:2017:AILK3YWKAEP3WTKRYEV4UB73GM

not attested not anchored not stored refs pending

Growth of solutions to NLS on irrational tori

Pierre Germain, Yu Deng

arxiv:1702.04978 v1 · 2017-02-16 · 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{AILK3YWKAEP3WTKRYEV4UB73GM}

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	2026-05-18T00:50:36.558491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0216ade2ca011fbb4d51c12bca07fb33240e4948fa62163a1f82eb5f6b738429

Aliases

arxiv: 1702.04978 · arxiv_version: 1702.04978v1 · doi: 10.48550/arxiv.1702.04978 · pith_short_12: AILK3YWKAEP3 · pith_short_16: AILK3YWKAEP3WTKR · pith_short_8: AILK3YWK

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/AILK3YWKAEP3WTKRYEV4UB73GM \
  | 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: 0216ade2ca011fbb4d51c12bca07fb33240e4948fa62163a1f82eb5f6b738429

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cecde8d70eda521f899d81aa8ea303aa421dd14c5c99c3f39bc35d457a6fe128",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-02-16T14:19:46Z",
    "title_canon_sha256": "c5e369f0d0bc82ba37a54cad8c04973af15439c4c6caea53b21cdce5b15f4c6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.04978",
    "kind": "arxiv",
    "version": 1
  }
}