Pith Number

pith:PSWEA52V

pith:2013:PSWEA52VZT7M3BCFJFEN5VGQXE

not attested not anchored not stored refs pending

Rate of Convergence to Barenblatt Profiles for the Fast Diffusion Equation with a Critical Exponent

John R. King, Marek Fila, Michael Winkler

arxiv:1309.6173 v1 · 2013-09-24 · 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{PSWEA52VZT7M3BCFJFEN5VGQXE}

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	2026-05-18T00:44:29.499367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cac407755ccfecd84454948ded4d0b912a90ed4933c26db7af985e330d3b984

Aliases

arxiv: 1309.6173 · arxiv_version: 1309.6173v1 · doi: 10.48550/arxiv.1309.6173 · pith_short_12: PSWEA52VZT7M · pith_short_16: PSWEA52VZT7M3BCF · pith_short_8: PSWEA52V

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/PSWEA52VZT7M3BCFJFEN5VGQXE \
  | 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: 7cac407755ccfecd84454948ded4d0b912a90ed4933c26db7af985e330d3b984

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40888be9a5476efdc8be0c1666e2beb1ac7c6c96d14718afc2ed4a2de563ac82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-09-24T14:18:27Z",
    "title_canon_sha256": "ae0219c45102c2deb685f9a32f6673e6c3c37d34bc738c2bcbb08a34832bb2a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6173",
    "kind": "arxiv",
    "version": 1
  }
}