Pith Number

pith:AZIKDZZX

pith:2023:AZIKDZZXVQEAX3AAOYFMZWB5PO

not attested not anchored not stored refs pending

Face 2-phase: how much overdetermination is enough to get symmetry in two-phase problems

Giorgio Poggesi, Lorenzo Cavallina

arxiv:2312.11088 v3 · 2023-12-18 · 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{AZIKDZZXVQEAX3AAOYFMZWB5PO}

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.

Cited by

1 paper in Pith

Stability results for nonlocal Serrin-type problems, antisymmetric Harnack inequalities, and geometric estimates

Receipt and verification

First computed	2026-07-05T10:59:56.844195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0650a1e737ac080bec00760accd83d7b936b423b5cc287af6842accb0041d9e5

Aliases

arxiv: 2312.11088 · arxiv_version: 2312.11088v3 · doi: 10.48550/arxiv.2312.11088 · pith_short_12: AZIKDZZXVQEA · pith_short_16: AZIKDZZXVQEAX3AA · pith_short_8: AZIKDZZX

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/AZIKDZZXVQEAX3AAOYFMZWB5PO \
  | 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: 0650a1e737ac080bec00760accd83d7b936b423b5cc287af6842accb0041d9e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e74acf6e283f36d867e3734fcc2e7a0c9f161835a98698f47fdca79e40f2a24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-12-18T10:31:31Z",
    "title_canon_sha256": "e5b3ae49094608eeec3dc2129935ffbc0168f4131e9b5779efdcba330e3673c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.11088",
    "kind": "arxiv",
    "version": 3
  }
}