Pith Number

pith:AIALHRNV

pith:2016:AIALHRNVE7XPGOGCPXYEOC7MEX

not attested not anchored not stored refs pending

Construction of two-bubble solutions for the energy-critical NLS

Jacek Jendrej

arxiv:1610.01093 v1 · 2016-10-04 · 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{AIALHRNVE7XPGOGCPXYEOC7MEX}

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	2026-05-18T00:20:57.126723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0200b3c5b527eef338c27df0470bec25c1f0e8ed1e5e20ea10ba83d1dfe63538

Aliases

arxiv: 1610.01093 · arxiv_version: 1610.01093v1 · doi: 10.48550/arxiv.1610.01093 · pith_short_12: AIALHRNVE7XP · pith_short_16: AIALHRNVE7XPGOGC · pith_short_8: AIALHRNV

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/AIALHRNVE7XPGOGCPXYEOC7MEX \
  | 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: 0200b3c5b527eef338c27df0470bec25c1f0e8ed1e5e20ea10ba83d1dfe63538

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abf743199d4384fbb5606596602b1973a2fc4030eb186c694b60f66f13413b92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-10-04T17:07:29Z",
    "title_canon_sha256": "07bb21dc2904c082711ec8812837b047b39689396f4d65b1fb9544e68d431126"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01093",
    "kind": "arxiv",
    "version": 1
  }
}