Pith Number

pith:3HOAKF2Y

pith:2016:3HOAKF2Y64ZIJXPNDHTMECMRSW

not attested not anchored not stored refs pending

Global well-posedness and scattering for the radial, defocusing, cubic wave equation with almost sharp initial data

Benjamin Dodson

arxiv:1604.04255 v2 · 2016-04-14 · 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{3HOAKF2Y64ZIJXPNDHTMECMRSW}

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	2026-05-18T00:02:02.395689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9dc051758f73284dded19e6c20991958d31c8ff0f4643870fad217f02b3a50e

Aliases

arxiv: 1604.04255 · arxiv_version: 1604.04255v2 · doi: 10.48550/arxiv.1604.04255 · pith_short_12: 3HOAKF2Y64ZI · pith_short_16: 3HOAKF2Y64ZIJXPN · pith_short_8: 3HOAKF2Y

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/3HOAKF2Y64ZIJXPNDHTMECMRSW \
  | 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: d9dc051758f73284dded19e6c20991958d31c8ff0f4643870fad217f02b3a50e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f86ca8e7dfdcef2def6e9d0639f1440cb4906487e00a20e6b9bddfc3e3507447",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-04-14T18:46:58Z",
    "title_canon_sha256": "83f537ca737f1a4679e00df9cd898b23cbdb17e173c391f6f3c43843f765a695"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04255",
    "kind": "arxiv",
    "version": 2
  }
}