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Pith Number

pith:BDDPX6XS

pith:2019:BDDPX6XSXS7J6FEOQOUW3CQPGH
not attested not anchored not stored refs pending

Some Energy Estimates for Stable Solutions to Fractional Allen-Cahn Equations

Changfeng Gui, Qinfeng Li

arxiv:1904.07443 v1 · 2019-04-16 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{BDDPX6XSXS7J6FEOQOUW3CQPGH}

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 2026-05-17T23:48:26.587169Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

08c6fbfaf2bcbe9f148e83a96d8a0f31c5d5de8bf23c4efc8773920b5fe8c0de

Aliases

arxiv: 1904.07443 · arxiv_version: 1904.07443v1 · doi: 10.48550/arxiv.1904.07443 · pith_short_12: BDDPX6XSXS7J · pith_short_16: BDDPX6XSXS7J6FEO · pith_short_8: BDDPX6XS
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/BDDPX6XSXS7J6FEOQOUW3CQPGH \
  | 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: 08c6fbfaf2bcbe9f148e83a96d8a0f31c5d5de8bf23c4efc8773920b5fe8c0de
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c75cbde9b7767aba95f1496f7d2637818ff162ccc6bc255383dc71eaf1e63c50",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-04-16T03:54:11Z",
    "title_canon_sha256": "f453ebdf9699f4a143e6cd70c8236c296d1e3c41f05408dddde9b7c00fbfac35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.07443",
    "kind": "arxiv",
    "version": 1
  }
}