Pith Number

pith:3UPDPLWR

pith:2016:3UPDPLWR4DIC3ESJQY3OMVPVF7

not attested not anchored not stored refs pending

Large time asymptotics of solutions to the short-pulse equation

Mamoru Okamoto

arxiv:1612.07869 v1 · 2016-12-23 · 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{3UPDPLWR4DIC3ESJQY3OMVPVF7}

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	2026-05-18T00:15:52.713200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd1e37aed1e0d02d92498636e655f52fd49a783b4729ed917cbc0d791d9f4d2a

Aliases

arxiv: 1612.07869 · arxiv_version: 1612.07869v1 · doi: 10.48550/arxiv.1612.07869 · pith_short_12: 3UPDPLWR4DIC · pith_short_16: 3UPDPLWR4DIC3ESJ · pith_short_8: 3UPDPLWR

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/3UPDPLWR4DIC3ESJQY3OMVPVF7 \
  | 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: dd1e37aed1e0d02d92498636e655f52fd49a783b4729ed917cbc0d791d9f4d2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82d121ae947b363506cb37a192d52104b5c1e41eaafb0f5541259dbee22db757",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-23T04:16:27Z",
    "title_canon_sha256": "0cf3c1b891260125d3db89d65994496475d614c42aae42ec8abca797d64b671d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07869",
    "kind": "arxiv",
    "version": 1
  }
}