Pith Number

pith:PRER77CJ

pith:2015:PRER77CJFJR37BZJMGIYHX7CVI

not attested not anchored not stored refs pending

A Generalization of the Hopf's Lemma for the 1-D Moving-Boundary Problem for the Fractional Diffusion Equation and its Application to a Fractional Free-Boundary Problem

Sabrina D. Roscani

arxiv:1502.01209 v1 · 2015-02-04 · 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{PRER77CJFJR37BZJMGIYHX7CVI}

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	2026-05-18T02:27:57.740080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c491ffc492a63bf8729619183dfe2aa19edc45984f1724da605be748a87e6e8

Aliases

arxiv: 1502.01209 · arxiv_version: 1502.01209v1 · doi: 10.48550/arxiv.1502.01209 · pith_short_12: PRER77CJFJR3 · pith_short_16: PRER77CJFJR37BZJ · pith_short_8: PRER77CJ

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/PRER77CJFJR37BZJMGIYHX7CVI \
  | 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: 7c491ffc492a63bf8729619183dfe2aa19edc45984f1724da605be748a87e6e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cad5cfc595cc2677cbd692a253fba892001cc9af3cb1563014fe3b17f8977934",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-02-04T14:44:06Z",
    "title_canon_sha256": "717ffeb3320f4635ae3f462c6f1dfadaf5d5675090067a7a80d40562c1d9e638"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01209",
    "kind": "arxiv",
    "version": 1
  }
}