Pith Number

pith:NYQCW5Y4

pith:2018:NYQCW5Y4PV6L5KJETNKSQ7HXSM

not attested not anchored not stored refs pending

Energy minimisers of prescribed winding number in an $\mathbb{S}^1$-valued nonlocal Allen-Cahn type model

Radu Ignat, Roger Moser

arxiv:1810.11427 v1 · 2018-10-26 · 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{NYQCW5Y4PV6L5KJETNKSQ7HXSM}

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	2026-05-18T00:02:14.193446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e202b771c7d7cbea9249b55287cf793350039a74f71ed1759c60429df069169

Aliases

arxiv: 1810.11427 · arxiv_version: 1810.11427v1 · doi: 10.48550/arxiv.1810.11427 · pith_short_12: NYQCW5Y4PV6L · pith_short_16: NYQCW5Y4PV6L5KJE · pith_short_8: NYQCW5Y4

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/NYQCW5Y4PV6L5KJETNKSQ7HXSM \
  | 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: 6e202b771c7d7cbea9249b55287cf793350039a74f71ed1759c60429df069169

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56856cdcb445685e8fbe88ada82e3bbd5c2babbd3307aa7a53e31c90a732832c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-26T17:17:09Z",
    "title_canon_sha256": "87023631091fbca91d0b13eafcc7f2fc9885734ce89dbcdb90a9148db48b8dcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.11427",
    "kind": "arxiv",
    "version": 1
  }
}