Pith Number

pith:WTBHKD6D

pith:2018:WTBHKD6DSME54KUBEVWQHPGVW2

not attested not anchored not stored refs pending

Non-Uniqueness of Weak Solutions of the Quantum-Hydrodynamic System

Jesus Sierra, Peter Markowich

arxiv:1805.04161 v1 · 2018-05-10 · 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{WTBHKD6DSME54KUBEVWQHPGVW2}

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	2026-05-18T00:16:13.440415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4c2750fc39309de2a81256d03bcd5b69489766bf501011b7c47bfcd26ba7dc5

Aliases

arxiv: 1805.04161 · arxiv_version: 1805.04161v1 · doi: 10.48550/arxiv.1805.04161 · pith_short_12: WTBHKD6DSME5 · pith_short_16: WTBHKD6DSME54KUB · pith_short_8: WTBHKD6D

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/WTBHKD6DSME54KUBEVWQHPGVW2 \
  | 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: b4c2750fc39309de2a81256d03bcd5b69489766bf501011b7c47bfcd26ba7dc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11f39331fc27773e8fef6d1c4b1ca49a3f0fac1b128e6e779e41e8cd5dd591bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-05-10T20:22:57Z",
    "title_canon_sha256": "fed3ee85755f7c6a47b24afc87729eb2e648c398c37071a153618775538cefaf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.04161",
    "kind": "arxiv",
    "version": 1
  }
}