Pith Number

pith:VW3YZFDL

pith:2026:VW3YZFDLK7X4ERNGSTEGH4XQEC

not attested not anchored not stored refs pending

The energy of fractional Allen--Cahn layers in dimension one

Alvaro Carballeira, Damien Galant, Javier G\'omez-Serrano

arxiv:2608.06226 v1 · 2026-08-06 · 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{VW3YZFDLK7X4ERNGSTEGH4XQEC}

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	2026-08-07T01:40:59.327145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adb78c946b57efc245a694c863f2f020ac0812592ff787c4f5f0ce848b71ef87

Aliases

arxiv: 2608.06226 · arxiv_version: 2608.06226v1 · doi: 10.48550/arxiv.2608.06226 · pith_short_12: VW3YZFDLK7X4 · pith_short_16: VW3YZFDLK7X4ERNG · pith_short_8: VW3YZFDL

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/VW3YZFDLK7X4ERNGSTEGH4XQEC \
  | 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: adb78c946b57efc245a694c863f2f020ac0812592ff787c4f5f0ce848b71ef87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12195487a1097d283f71ee3b9704194664d83b8990e6e391f1ca84847515ff40",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-08-06T16:15:18Z",
    "title_canon_sha256": "b79d984584b66569cded81ff30250a7790407438cca12bff75bb0039d85f01fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.06226",
    "kind": "arxiv",
    "version": 1
  }
}