Pith Number

pith:ICTOL2NI

pith:2019:ICTOL2NIWQ2WCGTEGQQEXEPCMW

not attested not anchored not stored refs pending

Axially symmetric solutions of Allen-Cahn equation with finite Morse index

Changfeng Gui, Juncheng Wei, Kelei Wang

arxiv:1901.11263 v1 · 2019-01-31 · 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{ICTOL2NIWQ2WCGTEGQQEXEPCMW}

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	2026-05-17T23:55:02.332163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40a6e5e9a8b435611a6434204b91e265a9b0c28c7e3becb00fb1e5e9fcf9b1a8

Aliases

arxiv: 1901.11263 · arxiv_version: 1901.11263v1 · doi: 10.48550/arxiv.1901.11263 · pith_short_12: ICTOL2NIWQ2W · pith_short_16: ICTOL2NIWQ2WCGTE · pith_short_8: ICTOL2NI

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/ICTOL2NIWQ2WCGTEGQQEXEPCMW \
  | 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: 40a6e5e9a8b435611a6434204b91e265a9b0c28c7e3becb00fb1e5e9fcf9b1a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8f3447209ba63d48986b5596d4773cf27cab5cb83246afc1d042de82891d16e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-01-31T08:33:35Z",
    "title_canon_sha256": "9b4ee159e7ba2cbb11122b61481b4f45018569a126053649e25c63acaa927e40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.11263",
    "kind": "arxiv",
    "version": 1
  }
}