pith. sign in
Pith Number

pith:ZZUGPNQD

pith:2016:ZZUGPNQDFEWDV7WLIDIZEOCXVM
not attested not anchored not stored refs pending

Transport equation with integral terms

Agnieszka \'Swierczewska-Gwiazda, Camillo De Lellis, Piotr Gwiazda

arxiv:1602.03193 v1 · 2016-02-09 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZZUGPNQDFEWDV7WLIDIZEOCXVM}

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 2026-05-18T01:21:00.567784Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ce6867b603292c3afecb40d1923857ab19aba385a805caeca98a6125bbf0d245

Aliases

arxiv: 1602.03193 · arxiv_version: 1602.03193v1 · doi: 10.48550/arxiv.1602.03193 · pith_short_12: ZZUGPNQDFEWD · pith_short_16: ZZUGPNQDFEWDV7WL · pith_short_8: ZZUGPNQD
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZZUGPNQDFEWDV7WLIDIZEOCXVM \
  | 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: ce6867b603292c3afecb40d1923857ab19aba385a805caeca98a6125bbf0d245
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5dd86db18824eea66006b83a03ff7ecfb2893a9acc9c26d8188c71d05b5de049",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-02-09T21:02:33Z",
    "title_canon_sha256": "83c73b9ee7be869601a63a11a8e980c9f1b80d5a77114afdf02759a48b7494b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03193",
    "kind": "arxiv",
    "version": 1
  }
}