Pith Number

pith:MNF5W35H

pith:2019:MNF5W35HTXULFH64PCJPRFV2FO

not attested not anchored not stored refs pending

The structure of the singular set in the thin obstacle problem for degenerate parabolic equations

Agnid Banerjee, Arshak Petrosyan, Donatella Danielli, Nicola Garofalo

arxiv:1902.07457 v2 · 2019-02-20 · 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{MNF5W35HTXULFH64PCJPRFV2FO}

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	2026-05-17T23:39:24.803558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

634bdb6fa79de8b29fdc7892f896ba2b91846faa8142920071cb89ec16ef1e4a

Aliases

arxiv: 1902.07457 · arxiv_version: 1902.07457v2 · doi: 10.48550/arxiv.1902.07457 · pith_short_12: MNF5W35HTXUL · pith_short_16: MNF5W35HTXULFH64 · pith_short_8: MNF5W35H

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/MNF5W35HTXULFH64PCJPRFV2FO \
  | 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: 634bdb6fa79de8b29fdc7892f896ba2b91846faa8142920071cb89ec16ef1e4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e878d642eeb7009f4ced13552eb0fb9fb8f142094a9eaa03c73060acbd4a45a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-02-20T08:47:59Z",
    "title_canon_sha256": "f742a1eaa6104827333882e8c8aee658f75e0d59d9eabc5942888dbf1505c604"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.07457",
    "kind": "arxiv",
    "version": 2
  }
}