Pith Number

pith:65ADN3DD

pith:2021:65ADN3DDWNYCQWKD3S4WLAKXPR

not attested not anchored not stored refs pending

Global existence for the p-Sobolev flow

Kenta Nakamura, Masashi Misawa, Tuomo Kuusi

arxiv:2103.15817 v1 · 2021-03-29 · 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{65ADN3DDWNYCQWKD3S4WLAKXPR}

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	2026-07-05T02:27:11.384571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f74036ec63b370285943dcb96581577c4624a93e7017611252c7ee52918c3094

Aliases

arxiv: 2103.15817 · arxiv_version: 2103.15817v1 · doi: 10.48550/arxiv.2103.15817 · pith_short_12: 65ADN3DDWNYC · pith_short_16: 65ADN3DDWNYCQWKD · pith_short_8: 65ADN3DD

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/65ADN3DDWNYCQWKD3S4WLAKXPR \
  | 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: f74036ec63b370285943dcb96581577c4624a93e7017611252c7ee52918c3094

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e19dc80d8c278e35ae1f6a165fe5617d872da25ed6b399ddd0aa75ff0f69b7e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-03-29T01:19:53Z",
    "title_canon_sha256": "4bffc4d8480cf8ea515edd3f5d4fc2fda385752f20ae52ba122cccb32790be3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.15817",
    "kind": "arxiv",
    "version": 1
  }
}