Pith Number

pith:YDOYHLAP

pith:2017:YDOYHLAPUNONGG6CS2ILAC3PVS

not attested not anchored not stored refs pending

On small travelling waves to the mass critical fractional NLS

Ivan Naumkin, Pierre Rapha\"el

arxiv:1712.04484 v1 · 2017-12-12 · 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{YDOYHLAPUNONGG6CS2ILAC3PVS}

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	2026-05-18T00:28:07.786571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0dd83ac0fa35cd31bc29690b00b6faca43c03b8e64522b75bceb4bce7c5e0b0

Aliases

arxiv: 1712.04484 · arxiv_version: 1712.04484v1 · doi: 10.48550/arxiv.1712.04484 · pith_short_12: YDOYHLAPUNON · pith_short_16: YDOYHLAPUNONGG6C · pith_short_8: YDOYHLAP

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/YDOYHLAPUNONGG6CS2ILAC3PVS \
  | 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: c0dd83ac0fa35cd31bc29690b00b6faca43c03b8e64522b75bceb4bce7c5e0b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c8f35d93fffcfe43a9e2587f84bcb63eeb0b2d67fd5246e44c4bc96012b0922",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-12T19:44:52Z",
    "title_canon_sha256": "c8a70297f2658324afcd452be3c0c6e7efa488ed18a25a9775c46a7847e4bb25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04484",
    "kind": "arxiv",
    "version": 1
  }
}