Pith Number

pith:H4YG3MXQ

pith:2015:H4YG3MXQZ3DLZ6LMNL6X2EGNAU

not attested not anchored not stored refs pending

Equilibration of unit mass solutions to a degenerate parabolic equation with a nonlocal gradient nonlinearity

Johannes Lankeit

arxiv:1511.01885 v1 · 2015-11-05 · 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{H4YG3MXQZ3DLZ6LMNL6X2EGNAU}

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	2026-05-18T01:27:39.563933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f306db2f0cec6bcf96c6afd7d10cd0516a0be081d3a062b33e7f97ad867237f

Aliases

arxiv: 1511.01885 · arxiv_version: 1511.01885v1 · doi: 10.48550/arxiv.1511.01885 · pith_short_12: H4YG3MXQZ3DL · pith_short_16: H4YG3MXQZ3DLZ6LM · pith_short_8: H4YG3MXQ

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/H4YG3MXQZ3DLZ6LMNL6X2EGNAU \
  | 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: 3f306db2f0cec6bcf96c6afd7d10cd0516a0be081d3a062b33e7f97ad867237f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "998321417a8128ff5de0efbae7ca6e0fd05fcf7d33865295a7ce3275e0ee81b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-11-05T20:37:25Z",
    "title_canon_sha256": "40935989ca842cf1c87c5f4e1e15093716de215579ff77e9dbd86db3966a2df0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01885",
    "kind": "arxiv",
    "version": 1
  }
}