Pith Number

pith:VHUFVRDC

pith:2013:VHUFVRDCZX6CEF5UQ5ATFH37AP

not attested not anchored not stored refs pending

Entire solutions with exponential growth for an elliptic system modeling phase-separation

Alessandro Zilio, Nicola Soave

arxiv:1303.3797 v1 · 2013-03-15 · 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{VHUFVRDCZX6CEF5UQ5ATFH37AP}

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	2026-05-18T02:58:57.307036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9e85ac462cdfc2217b48741329f7f03c9b84674986a63f36c3b7bbc777be63c

Aliases

arxiv: 1303.3797 · arxiv_version: 1303.3797v1 · doi: 10.48550/arxiv.1303.3797 · pith_short_12: VHUFVRDCZX6C · pith_short_16: VHUFVRDCZX6CEF5U · pith_short_8: VHUFVRDC

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/VHUFVRDCZX6CEF5UQ5ATFH37AP \
  | 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: a9e85ac462cdfc2217b48741329f7f03c9b84674986a63f36c3b7bbc777be63c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e897a3119e8f02267d2a53074a84476e33f11c474d81bb1f272ca969a8db2b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-03-15T15:01:08Z",
    "title_canon_sha256": "04f65b7d3d43d0deb0a4045c5d4b17bbf09b297675b9d4a1bf0fb0be3b298e11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3797",
    "kind": "arxiv",
    "version": 1
  }
}