Pith Number

pith:E7PF5TL4

pith:2017:E7PF5TL4VMMDMINKOWV2HDPFQ2

not attested not anchored not stored refs pending

Regularity for general functionals with double phase

Giuseppe Mingione, Maria Colombo, Paolo Baroni

arxiv:1708.09147 v1 · 2017-08-30 · 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{E7PF5TL4VMMDMINKOWV2HDPFQ2}

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	2026-05-18T00:36:20.816383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27de5ecd7cab183621aa75aba38de5869af4e519908da940785c612e389c64a2

Aliases

arxiv: 1708.09147 · arxiv_version: 1708.09147v1 · doi: 10.48550/arxiv.1708.09147 · pith_short_12: E7PF5TL4VMMD · pith_short_16: E7PF5TL4VMMDMINK · pith_short_8: E7PF5TL4

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/E7PF5TL4VMMDMINKOWV2HDPFQ2 \
  | 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: 27de5ecd7cab183621aa75aba38de5869af4e519908da940785c612e389c64a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4c5a50e855c3219ece9f9406c1abf3522fad63081c3d4de953a891ddc55cac5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-08-30T07:49:10Z",
    "title_canon_sha256": "f0bdd00ab94981d07512e5de5553fd061645a768866121f6e910a4879579a46b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.09147",
    "kind": "arxiv",
    "version": 1
  }
}