Pith Number

pith:TYRFBKKC

pith:2012:TYRFBKKCGDTXBNIGOANVCNCV3K

not attested not anchored not stored refs pending

Classical solutions for a logarithmic fractional diffusion equation

Ana Rodr\'iguez, Arturo de Pablo, Fernando Quir\'os, Juan Luis V\'azquez

arxiv:1205.2223 v2 · 2012-05-10 · 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{TYRFBKKCGDTXBNIGOANVCNCV3K}

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	2026-05-18T03:42:55.794456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e2250a94230e770b506701b513455dabe6f3bd933b4d0447e15c50fbf540047

Aliases

arxiv: 1205.2223 · arxiv_version: 1205.2223v2 · doi: 10.48550/arxiv.1205.2223 · pith_short_12: TYRFBKKCGDTX · pith_short_16: TYRFBKKCGDTXBNIG · pith_short_8: TYRFBKKC

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/TYRFBKKCGDTXBNIGOANVCNCV3K \
  | 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: 9e2250a94230e770b506701b513455dabe6f3bd933b4d0447e15c50fbf540047

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc78e7d231218725dde52bd26c2b14940fd82c78a35166de33e88f962e76aa51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-05-10T10:22:58Z",
    "title_canon_sha256": "b780ac6781d7850ada27c326f9b0e1243cc0e0620d57eda7fe691f6d4c12f477"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2223",
    "kind": "arxiv",
    "version": 2
  }
}