Pith Number

pith:MCIDVDQZ

pith:2026:MCIDVDQZKCAMQUAZK7HP3EE35S

not attested not anchored not stored refs pending

Symmetry-breaking and local stability of a two-phase eigenvalue problem in optimal insulation

Emanuele Cristoforoni, Federico Villone

arxiv:2607.07218 v1 · 2026-07-08 · 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{MCIDVDQZKCAMQUAZK7HP3EE35S}

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	2026-07-09T01:20:18.041488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60903a8e195080c8501957cefd909becbcc12d627cb857383d7b13e3c7302bf1

Aliases

arxiv: 2607.07218 · arxiv_version: 2607.07218v1 · doi: 10.48550/arxiv.2607.07218 · pith_short_12: MCIDVDQZKCAM · pith_short_16: MCIDVDQZKCAMQUAZ · pith_short_8: MCIDVDQZ

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/MCIDVDQZKCAMQUAZK7HP3EE35S \
  | 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: 60903a8e195080c8501957cefd909becbcc12d627cb857383d7b13e3c7302bf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a96a9368a46a876709b63ad1a7a55163a79b2cfbcbc37699b5e31012ba333358",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-08T10:00:46Z",
    "title_canon_sha256": "2d6f5a5c9c436b33c14ec4680524835a4b7b9b781cea3bd6aca461a1dfba5a9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07218",
    "kind": "arxiv",
    "version": 1
  }
}