Pith Number

pith:LEM4HFPK

pith:2026:LEM4HFPKO4CDSYE35G2INP7TFL

not attested not anchored not stored refs pending

Topological Foundations of Multi-Field Instabilities in Continua: Part 1: Foundations Part 2:Analytical Formulation for 1-D Spin Chains Part 3: Numerical Upscaling

Amir Saker, Francois Nicot, Klaus Regenauer-Lieb

arxiv:2607.18995 v1 · 2026-07-21 · math-ph · math.MP · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LEM4HFPKO4CDSYE35G2INP7TFL}

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	2026-07-22T01:24:03.597085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5919c395ea770439609be9b486bff32ad370a40e2a0c1595c1704172ea967c1b

Aliases

arxiv: 2607.18995 · arxiv_version: 2607.18995v1 · doi: 10.48550/arxiv.2607.18995 · pith_short_12: LEM4HFPKO4CD · pith_short_16: LEM4HFPKO4CDSYE3 · pith_short_8: LEM4HFPK

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/LEM4HFPKO4CDSYE35G2INP7TFL \
  | 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: 5919c395ea770439609be9b486bff32ad370a40e2a0c1595c1704172ea967c1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac30ce5163d8ac87143f831647ad4640bec81bcfd8b1ded336031660ab1f0a76",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.PS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-07-21T11:28:25Z",
    "title_canon_sha256": "24045b2d8b27d41a033c6d89dfee8ae52dd28433c789c44311529a8f8445b9b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18995",
    "kind": "arxiv",
    "version": 1
  }
}