Pith Number

pith:GAKJT65B

pith:2011:GAKJT65BOQ2WVRGI3H2ZTHMHXF

not attested not anchored not stored refs pending

An asymptotic analysis for a nonstandard Cahn-Hilliard system with viscosity

Gianni Gilardi, J\"urgen Sprekels, Paolo Podio-Guidugli, Pierluigi Colli

arxiv:1109.3303 v1 · 2011-09-15 · 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{GAKJT65BOQ2WVRGI3H2ZTHMHXF}

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	2026-05-18T04:12:57.006069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

301499fba174356ac4c8d9f5999d87b960a2969c4c009f2152169bdbaa23b1c4

Aliases

arxiv: 1109.3303 · arxiv_version: 1109.3303v1 · doi: 10.48550/arxiv.1109.3303 · pith_short_12: GAKJT65BOQ2W · pith_short_16: GAKJT65BOQ2WVRGI · pith_short_8: GAKJT65B

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/GAKJT65BOQ2WVRGI3H2ZTHMHXF \
  | 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: 301499fba174356ac4c8d9f5999d87b960a2969c4c009f2152169bdbaa23b1c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7a2b84fcb4e2678fd35ac25459cbfe8e51751c251351600dff2683393c9ac72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-09-15T09:54:16Z",
    "title_canon_sha256": "dae0cd11f35e745b8e892f78485dacdcdcdaf9fa801eb62f99759d22e6f2881c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3303",
    "kind": "arxiv",
    "version": 1
  }
}