Pith Number

pith:NZM6WTBS

pith:2013:NZM6WTBSCRG4KMCZANXIF5EWIB

not attested not anchored not stored refs pending

Nonlocal heat equations: decay estimates and Nash inequalities

Arturo de Pablo, Cristina Br\"andle

arxiv:1312.4661 v4 · 2013-12-17 · 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{NZM6WTBSCRG4KMCZANXIF5EWIB}

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	2026-05-18T01:27:24.542595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e59eb4c32144dc53059036e82f49640664e24334551595612acf97e3222af94

Aliases

arxiv: 1312.4661 · arxiv_version: 1312.4661v4 · doi: 10.48550/arxiv.1312.4661 · pith_short_12: NZM6WTBSCRG4 · pith_short_16: NZM6WTBSCRG4KMCZ · pith_short_8: NZM6WTBS

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/NZM6WTBSCRG4KMCZANXIF5EWIB \
  | 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: 6e59eb4c32144dc53059036e82f49640664e24334551595612acf97e3222af94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28194daccbbb39e9637a1d1c3ddbb970a3b8f3eb94858ce02b2220d040cfc59d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-12-17T06:51:14Z",
    "title_canon_sha256": "f07f87e9976b9259beed4ea0001acf30e2a73b48cab549beefc6dc9b32886ee0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4661",
    "kind": "arxiv",
    "version": 4
  }
}