Pith Number

pith:ODHYATD2

pith:2016:ODHYATD2BBK7HE27Z2AK4NCJOP

not attested not anchored not stored refs pending

Geometry of minimizers for the interaction energy with mildly repulsive potentials

A. Figalli, F. S. Patacchini, J. A. Carrillo

arxiv:1607.08660 v3 · 2016-07-28 · 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{ODHYATD2BBK7HE27Z2AK4NCJOP}

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	2026-05-18T00:42:46.561365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70cf804c7a0855f3935fce80ae344973c70da2bfc5a82662a8acbb1ab4bfe293

Aliases

arxiv: 1607.08660 · arxiv_version: 1607.08660v3 · doi: 10.48550/arxiv.1607.08660 · pith_short_12: ODHYATD2BBK7 · pith_short_16: ODHYATD2BBK7HE27 · pith_short_8: ODHYATD2

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/ODHYATD2BBK7HE27Z2AK4NCJOP \
  | 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: 70cf804c7a0855f3935fce80ae344973c70da2bfc5a82662a8acbb1ab4bfe293

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "722dcb0c509fdd7360dd5bf9fbbc1ba46b6f8ef35340dccabfa7028000461c49",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-07-28T23:03:33Z",
    "title_canon_sha256": "d725a5a98a83f7f2578b11dc2e6a0a264e9fe879823a3980b9e6c1fc0e178a74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.08660",
    "kind": "arxiv",
    "version": 3
  }
}