Pith Number

pith:I24QPJFT

pith:2012:I24QPJFTKAKS5M33GZNX2KQ44N

not attested not anchored not stored refs pending

Some existence and regularity results for porous media and fast diffusion equations with a gradient term

Boumediene Abdellaoui, Ireneo Peral, Magdalena Walias

arxiv:1210.5062 v1 · 2012-10-18 · 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{I24QPJFTKAKS5M33GZNX2KQ44N}

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	2026-05-18T03:42:54.405359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46b907a4b350152eb37b365b7d2a1ce375ed9342ff2448197e846bf3acdb47ae

Aliases

arxiv: 1210.5062 · arxiv_version: 1210.5062v1 · doi: 10.48550/arxiv.1210.5062 · pith_short_12: I24QPJFTKAKS · pith_short_16: I24QPJFTKAKS5M33 · pith_short_8: I24QPJFT

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/I24QPJFTKAKS5M33GZNX2KQ44N \
  | 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: 46b907a4b350152eb37b365b7d2a1ce375ed9342ff2448197e846bf3acdb47ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eefa686bed1482376fee80ab37e36b56e542178e9ef7f148d16f1d27cbc30372",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-18T09:27:11Z",
    "title_canon_sha256": "f1e8bb3bb9eefa9ecac72de4fe8980db7d4a995ad359a9db8914ed010ad35c84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5062",
    "kind": "arxiv",
    "version": 1
  }
}