Pith Number

pith:4LVDI7LK

pith:2014:4LVDI7LK224XS7XGMOURKEYX7R

not attested not anchored not stored refs pending

Multyphase solutions to the vector Allen-Cahn equation: Crystalline and other complex symmetric structures

Giorgio Fusco, Panayotis Smyrnelis, Peter W. Bates

arxiv:1411.4008 v1 · 2014-11-14 · 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{4LVDI7LK224XS7XGMOURKEYX7R}

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	2026-05-18T02:37:37.239873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2ea347d6ad6b9797ee663a9151317fc52aca133509d9b246d2f5ed400060b2b

Aliases

arxiv: 1411.4008 · arxiv_version: 1411.4008v1 · doi: 10.48550/arxiv.1411.4008 · pith_short_12: 4LVDI7LK224X · pith_short_16: 4LVDI7LK224XS7XG · pith_short_8: 4LVDI7LK

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/4LVDI7LK224XS7XGMOURKEYX7R \
  | 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: e2ea347d6ad6b9797ee663a9151317fc52aca133509d9b246d2f5ed400060b2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8969692b61286c2ef906278732e12cf4ff2a07ad011794a029efd821b8b8c9c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-11-14T18:56:31Z",
    "title_canon_sha256": "bf41c94e55be7855e5598aa6ad7a8464f06989a81dcfc2d7e52e5eae5bea177d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.4008",
    "kind": "arxiv",
    "version": 1
  }
}