Pith Number

pith:DEZZMG7T

pith:2019:DEZZMG7TFHJ66WPP2DIKNJIWXJ

not attested not anchored not stored refs pending

The equation div$u$+$\langle a, u \rangle=f$

Gyula Csat\'o, Pierre Bousquet

arxiv:1901.05783 v1 · 2019-01-17 · 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{DEZZMG7TFHJ66WPP2DIKNJIWXJ}

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	2026-05-17T23:45:44.520353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1933961bf329d3ef59efd0d0a6a516ba7a15d217823e7b1e415d735421443974

Aliases

arxiv: 1901.05783 · arxiv_version: 1901.05783v1 · doi: 10.48550/arxiv.1901.05783 · pith_short_12: DEZZMG7TFHJ6 · pith_short_16: DEZZMG7TFHJ66WPP · pith_short_8: DEZZMG7T

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/DEZZMG7TFHJ66WPP2DIKNJIWXJ \
  | 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: 1933961bf329d3ef59efd0d0a6a516ba7a15d217823e7b1e415d735421443974

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcf8ce16ac5c31120a48977f2872aa39a8320438aed5e61311c5cb27f326e2e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-01-17T13:38:16Z",
    "title_canon_sha256": "22d60bdc281a586ebe2120171ee3bea7662d6028449af72ba72bcdf26fe372bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.05783",
    "kind": "arxiv",
    "version": 1
  }
}