Pith Number

pith:Z6LR4JAJ

pith:2012:Z6LR4JAJ53ZQH3UGBHEOS7KZ6Q

not attested not anchored not stored refs pending

Regularity of solutions of the fractional porous medium flow

Fernando Soria, Juan Luis Vazquez, Luis Caffarelli

arxiv:1201.6048 v1 · 2012-01-29 · 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{Z6LR4JAJ53ZQH3UGBHEOS7KZ6Q}

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	2026-05-18T04:03:33.844413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf971e2409eef303ee8609c8e97d59f40f500987a1c41ef6830cab1d2e6b500d

Aliases

arxiv: 1201.6048 · arxiv_version: 1201.6048v1 · doi: 10.48550/arxiv.1201.6048 · pith_short_12: Z6LR4JAJ53ZQ · pith_short_16: Z6LR4JAJ53ZQH3UG · pith_short_8: Z6LR4JAJ

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/Z6LR4JAJ53ZQH3UGBHEOS7KZ6Q \
  | 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: cf971e2409eef303ee8609c8e97d59f40f500987a1c41ef6830cab1d2e6b500d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8998647e15ef85bfa34ea449f2439ebc5a8944d631ebc0c57c0f093d58b6d671",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-01-29T16:02:30Z",
    "title_canon_sha256": "5a296111aa16de2d3cf63fdddd6cfc738f23dba83b995eb391495e8d865ff213"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6048",
    "kind": "arxiv",
    "version": 1
  }
}