Pith Number

pith:Z5ACKFEJ

pith:2017:Z5ACKFEJJAGU6EFX3MYN27KXR7

not attested not anchored not stored refs pending

Local existence, lower mass bounds, and a new continuation criterion for the Landau equation

Andrei Tarfulea, Christopher Henderson, Stanley Snelson

arxiv:1712.07111 v3 · 2017-12-19 · 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{Z5ACKFEJJAGU6EFX3MYN27KXR7}

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	2026-05-18T00:14:46.715586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf40251489480d4f10b7db30dd7d578fcf5de044cb0851d16e5df8c09e88f4fb

Aliases

arxiv: 1712.07111 · arxiv_version: 1712.07111v3 · doi: 10.48550/arxiv.1712.07111 · pith_short_12: Z5ACKFEJJAGU · pith_short_16: Z5ACKFEJJAGU6EFX · pith_short_8: Z5ACKFEJ

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/Z5ACKFEJJAGU6EFX3MYN27KXR7 \
  | 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: cf40251489480d4f10b7db30dd7d578fcf5de044cb0851d16e5df8c09e88f4fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd470d4defe7722393c37f96ce7f0ac5cd916f819ab163dc95385a1cff57f4d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-19T18:55:20Z",
    "title_canon_sha256": "d6666263b96727efd1aa0346955da3fbead24c81e10ab42a5f2752fd56ecc4cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07111",
    "kind": "arxiv",
    "version": 3
  }
}