Pith Number

pith:FADXIL5R

pith:2016:FADXIL5REOFW5EMTF4RJKPGON5

not attested not anchored not stored refs pending

Scattering profile for global solutions of the energy-critical wave equation

Carlos Kenig, Frank Merle, Thomas Duyckaerts

arxiv:1601.02107 v1 · 2016-01-09 · 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{FADXIL5REOFW5EMTF4RJKPGON5}

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	2026-05-18T01:23:07.300459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2807742fb1238b6e91932f22953cce6f43b03cdefc73e600f569506bec17658a

Aliases

arxiv: 1601.02107 · arxiv_version: 1601.02107v1 · doi: 10.48550/arxiv.1601.02107 · pith_short_12: FADXIL5REOFW · pith_short_16: FADXIL5REOFW5EMT · pith_short_8: FADXIL5R

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/FADXIL5REOFW5EMTF4RJKPGON5 \
  | 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: 2807742fb1238b6e91932f22953cce6f43b03cdefc73e600f569506bec17658a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37409179c87ca88b36d2130c739a84e065facdfe2dbd833803549361ead50500",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-01-09T12:54:44Z",
    "title_canon_sha256": "b9d5f42dacd5267f3d6f72c90de0d5091e804ec81810a3963f8dc3c10dcc6a22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02107",
    "kind": "arxiv",
    "version": 1
  }
}