Pith Number

pith:YYNMSRZB

pith:2015:YYNMSRZBAYWTWV7KHDVK5MMPLV

not attested not anchored not stored refs pending

On an application of Tikhonov's fixed point theorem to a nonlocal Cahn-Hilliard type system modeling phase separation

Gianni Gilardi, J\"urgen Sprekels, Pierluigi Colli

arxiv:1511.04361 v1 · 2015-11-13 · 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{YYNMSRZBAYWTWV7KHDVK5MMPLV}

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	2026-05-18T01:26:59.097809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c61ac94721062d3b57ea38eaaeb18f5d58abd7d68d5d92c215fc067cb1487f5a

Aliases

arxiv: 1511.04361 · arxiv_version: 1511.04361v1 · doi: 10.48550/arxiv.1511.04361 · pith_short_12: YYNMSRZBAYWT · pith_short_16: YYNMSRZBAYWTWV7K · pith_short_8: YYNMSRZB

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/YYNMSRZBAYWTWV7KHDVK5MMPLV \
  | 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: c61ac94721062d3b57ea38eaaeb18f5d58abd7d68d5d92c215fc067cb1487f5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6edbe08f6c3fc463ddec3f40a00c5200d269f8553073cccf1c9725c79c9352c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-11-13T16:55:52Z",
    "title_canon_sha256": "421bec4c2a6bc3d278c0630c64ceb240c7a20f40d4386241ac3610fbf425bfa6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04361",
    "kind": "arxiv",
    "version": 1
  }
}