Pith Number

pith:IRKVDNS3

pith:2014:IRKVDNS3FEAP4LPZMNIXY23J6H

not attested not anchored not stored refs pending

Hopf's lemma for a class of singular/degenerate PDE-s

Hayk Mikayelyan, Henrik Shahgholian

arxiv:1402.7157 v1 · 2014-02-28 · 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{IRKVDNS3FEAP4LPZMNIXY23J6H}

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	2026-05-18T02:57:34.832421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

445551b65b2900fe2df963517c6b69f1e627f3947a8d74a2fbe4d4950f8d99f7

Aliases

arxiv: 1402.7157 · arxiv_version: 1402.7157v1 · doi: 10.48550/arxiv.1402.7157 · pith_short_12: IRKVDNS3FEAP · pith_short_16: IRKVDNS3FEAP4LPZ · pith_short_8: IRKVDNS3

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/IRKVDNS3FEAP4LPZMNIXY23J6H \
  | 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: 445551b65b2900fe2df963517c6b69f1e627f3947a8d74a2fbe4d4950f8d99f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cefd7e1ca4ed289437b589c2bf49a28725e9f9222a20bf0872513158c34da27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-02-28T07:50:48Z",
    "title_canon_sha256": "eaab36badd76985676eca54d0cb1bdd7aa22bb318e070ec0a48dbd950df3ab56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.7157",
    "kind": "arxiv",
    "version": 1
  }
}