Pith Number

pith:FKPXY7AK

pith:2016:FKPXY7AKNP3BUQYAF6PVCAURFY

not attested not anchored not stored refs pending

Layered solutions to the vector Allen-Cahn equation in $ R^2$. Characterization of minimizers and a new approach to heteroclinic connections

Giorgio Fusco

arxiv:1609.05306 v1 · 2016-09-17 · 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{FKPXY7AKNP3BUQYAF6PVCAURFY}

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	2026-05-18T01:04:26.814908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a9f7c7c0a6bf61a43002f9f5102912e173532b91b83e1a83549f6f435d8b083

Aliases

arxiv: 1609.05306 · arxiv_version: 1609.05306v1 · doi: 10.48550/arxiv.1609.05306 · pith_short_12: FKPXY7AKNP3B · pith_short_16: FKPXY7AKNP3BUQYA · pith_short_8: FKPXY7AK

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/FKPXY7AKNP3BUQYAF6PVCAURFY \
  | 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: 2a9f7c7c0a6bf61a43002f9f5102912e173532b91b83e1a83549f6f435d8b083

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3769c53b6b6d3f47f871e2e9b5ee2d304795055a40aac5fe7c7a5663edf86067",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-09-17T09:26:48Z",
    "title_canon_sha256": "38b5d780782b838dc91c4948d7232c4b5d4c038cf4dc3959451125fe34cafc68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05306",
    "kind": "arxiv",
    "version": 1
  }
}