Pith Number

pith:ZXEYDX6V

pith:2012:ZXEYDX6VD4U4NMTXVDVMXHGWB3

not attested not anchored not stored refs pending

Gradient integrability and rigidity results for two-phase conductivities in dimension two

Marcello Ponsiglione, Mariapia Palombaro, Vincenzo Nesi

arxiv:1201.5324 v1 · 2012-01-25 · math.AP · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZXEYDX6VD4U4NMTXVDVMXHGWB3}

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	2026-05-18T04:03:55.044839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdc981dfd51f29c6b277a8eacb9cd60edc1dc6be039af07ff1538fdd5b41aca3

Aliases

arxiv: 1201.5324 · arxiv_version: 1201.5324v1 · doi: 10.48550/arxiv.1201.5324 · pith_short_12: ZXEYDX6VD4U4 · pith_short_16: ZXEYDX6VD4U4NMTX · pith_short_8: ZXEYDX6V

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/ZXEYDX6VD4U4NMTXVDVMXHGWB3 \
  | 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: cdc981dfd51f29c6b277a8eacb9cd60edc1dc6be039af07ff1538fdd5b41aca3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42ccd6acb995d951746692f115219bd78140bed832b18a857926aa770c5f4796",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-01-25T16:59:45Z",
    "title_canon_sha256": "ba670833cff5659c28c9e2e66c335b73cf2791a993bd0f543841b001a43aed8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5324",
    "kind": "arxiv",
    "version": 1
  }
}