Pith Number

pith:ETSPMB7W

pith:2014:ETSPMB7WWUO4WYQ5ZA65GE2AWD

not attested not anchored not stored refs pending

On the uniqueness of solutions to continuity equations

G. Da Prato, M. R\"ockner, S.V. Shaposhnikov, V.I. Bogachev

arxiv:1412.7002 v1 · 2014-12-19 · math.AP · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ETSPMB7WWUO4WYQ5ZA65GE2AWD}

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	2026-05-18T00:13:13.922812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24e4f607f6b51dcb621dc83dd31340b0ead4e9acbf0cb663dd527e5518f502f5

Aliases

arxiv: 1412.7002 · arxiv_version: 1412.7002v1 · doi: 10.48550/arxiv.1412.7002 · pith_short_12: ETSPMB7WWUO4 · pith_short_16: ETSPMB7WWUO4WYQ5 · pith_short_8: ETSPMB7W

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/ETSPMB7WWUO4WYQ5ZA65GE2AWD \
  | 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: 24e4f607f6b51dcb621dc83dd31340b0ead4e9acbf0cb663dd527e5518f502f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f5d298fb8bc518166c499fe899eb90ee39c70679742da96753a5f2c5fb246f2",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-12-19T13:20:55Z",
    "title_canon_sha256": "6b58e60edb857e9e3accfcb00592f6a276bc20d8165a560b3f92c0682120c616"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7002",
    "kind": "arxiv",
    "version": 1
  }
}