Pith Number

pith:J2CNVBMO

pith:2015:J2CNVBMOGNRN3S42VKDRSS6YT5

not attested not anchored not stored refs pending

Existence and properties of certain critical points of the Cahn-Hilliard energy

Alfred Wagner, Maria G. Westdickenberg, Michael Gelantalis

arxiv:1510.00061 v2 · 2015-09-30 · 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{J2CNVBMOGNRN3S42VKDRSS6YT5}

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	2026-05-18T01:19:00.259475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e84da858e3362ddcb9aaa87194bd89f7172b5b61b3f577e755a9d430c112849

Aliases

arxiv: 1510.00061 · arxiv_version: 1510.00061v2 · doi: 10.48550/arxiv.1510.00061 · pith_short_12: J2CNVBMOGNRN · pith_short_16: J2CNVBMOGNRN3S42 · pith_short_8: J2CNVBMO

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/J2CNVBMOGNRN3S42VKDRSS6YT5 \
  | 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: 4e84da858e3362ddcb9aaa87194bd89f7172b5b61b3f577e755a9d430c112849

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d4636f1fb5999af709750f49fffbfb10b193963734451d999cf022df6ebfc35",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-30T22:39:19Z",
    "title_canon_sha256": "a6d2d67a8ab1a7a321a84079b247ee987b3394c930b16fc79357bc491e5104cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00061",
    "kind": "arxiv",
    "version": 2
  }
}