Pith Number

pith:7KZQOXEB

pith:2022:7KZQOXEBSKHTY26Y43ES3RIB2Y

not attested not anchored not stored refs pending

Multiplicity of solutions to the multiphasic Allen-Cahn-Hilliard system with a small volume constraint on closed parallelizable manifolds

Jackeline Conrado, Jo\~ao Henrique Andrade, Paolo Piccione, Reinaldo Resende, Stefano Nardulli

arxiv:2203.05034 v2 · 2022-03-09 · math.AP · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7KZQOXEBSKHTY26Y43ES3RIB2Y}

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	2026-07-05T08:12:24.424185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fab3075c81928f3c6bd8e6c92dc501d601485ccf0f5395fbdfe70acad32ef5c0

Aliases

arxiv: 2203.05034 · arxiv_version: 2203.05034v2 · doi: 10.48550/arxiv.2203.05034 · pith_short_12: 7KZQOXEBSKHT · pith_short_16: 7KZQOXEBSKHTY26Y · pith_short_8: 7KZQOXEB

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/7KZQOXEBSKHTY26Y43ES3RIB2Y \
  | 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: fab3075c81928f3c6bd8e6c92dc501d601485ccf0f5395fbdfe70acad32ef5c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bd6b1f2a4a065a0dcd68f4fc6e92e7fd5d474977c8424fc67993e7dd3ac7044",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-03-09T20:22:44Z",
    "title_canon_sha256": "223eb20466b011732764ce72c6d46a9cf7d9f7e58b16bbb92eea0685a7d4a673"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.05034",
    "kind": "arxiv",
    "version": 2
  }
}