Pith Number

pith:4P4CPQE6

pith:2016:4P4CPQE6C2SJ36BZLSGJJMTJYB

not attested not anchored not stored refs pending

Local existence of smooth solutions to multiphase models in two space dimensions

Roberta Bianchini, Roberto Natalini

arxiv:1610.03956 v1 · 2016-10-13 · 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{4P4CPQE6C2SJ36BZLSGJJMTJYB}

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	2026-05-18T01:02:22.902916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3f827c09e16a49df8395c8c94b269c061ba31e9e321aac0aede6589eff03aa6

Aliases

arxiv: 1610.03956 · arxiv_version: 1610.03956v1 · doi: 10.48550/arxiv.1610.03956 · pith_short_12: 4P4CPQE6C2SJ · pith_short_16: 4P4CPQE6C2SJ36BZ · pith_short_8: 4P4CPQE6

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/4P4CPQE6C2SJ36BZLSGJJMTJYB \
  | 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: e3f827c09e16a49df8395c8c94b269c061ba31e9e321aac0aede6589eff03aa6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02845481b6d7aa93cd29e841585661d68e6ff8ecd5fa3a5aab37d8b61702d707",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-10-13T07:08:15Z",
    "title_canon_sha256": "240b7e6d052bf1a8eb6efbceb9bd46cf63c474aa14071136bed84d4df345cbd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03956",
    "kind": "arxiv",
    "version": 1
  }
}