Pith Number

pith:QIWCSXSR

pith:2026:QIWCSXSRZMCZCCIBKLMXZY6RKW

not attested not anchored not stored refs pending

The formation of gradient-driven singular structures of codimension one and two in two-dimensions: The case study of ferronematics. Part~{II}: Refined structure of the energy-concentration set

Bianca Stroffolini, Federico Luigi Dipasquale, Giacomo Canevari

arxiv:2606.12644 v1 · 2026-06-10 · 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{QIWCSXSRZMCZCCIBKLMXZY6RKW}

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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	2026-06-12T01:08:42.377093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

822c295e51cb0591090152d97ce3d1559fd94a86458c3587eb785d39b0f93e0d

Aliases

arxiv: 2606.12644 · arxiv_version: 2606.12644v1 · doi: 10.48550/arxiv.2606.12644 · pith_short_12: QIWCSXSRZMCZ · pith_short_16: QIWCSXSRZMCZCCIB · pith_short_8: QIWCSXSR

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/QIWCSXSRZMCZCCIBKLMXZY6RKW \
  | 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: 822c295e51cb0591090152d97ce3d1559fd94a86458c3587eb785d39b0f93e0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "101cddef9d1eeecec48fc00fe84a64782ba02bd85c0f6e9ade9788a129e65d2c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-10T20:13:26Z",
    "title_canon_sha256": "d542158d7143a758217ea730fb7065eeff90b722e8ef0401597060996144a973"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12644",
    "kind": "arxiv",
    "version": 1
  }
}