Pith Number

pith:LZYJPAOQ

pith:2013:LZYJPAOQBKJJ7A5GGHOROQQYLF

not attested not anchored not stored refs pending

Fractional porous media equations: existence and uniqueness of weak solutions with measure data

Fabio Punzo, Gabriele Grillo, Matteo Muratori

arxiv:1312.6076 v3 · 2013-12-20 · 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{LZYJPAOQBKJJ7A5GGHOROQQYLF}

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	2026-05-18T01:36:02.134496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e709781d00a929f83a631dd174218597a84d16b28cd2e7481a463821155c57e

Aliases

arxiv: 1312.6076 · arxiv_version: 1312.6076v3 · doi: 10.48550/arxiv.1312.6076 · pith_short_12: LZYJPAOQBKJJ · pith_short_16: LZYJPAOQBKJJ7A5G · pith_short_8: LZYJPAOQ

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/LZYJPAOQBKJJ7A5GGHOROQQYLF \
  | 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: 5e709781d00a929f83a631dd174218597a84d16b28cd2e7481a463821155c57e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14e27e383bd7eb0ee8f53af9073bcd5280d440c7429a0785cd99e37bd4ba58a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-12-20T19:07:18Z",
    "title_canon_sha256": "2c4098b363403acadee145db215ea21abb61325021c26f4b109415b244099432"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6076",
    "kind": "arxiv",
    "version": 3
  }
}