Pith Number

pith:YDGNOVX5

pith:2012:YDGNOVX556IN5BSTCTDFLEUHDE

not attested not anchored not stored refs pending

Gradient flows for non-smooth interaction potentials

Edoardo Mainini, Jos\'e Antonio Carrillo, Stefano Lisini

arxiv:1206.4453 v1 · 2012-06-20 · 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{YDGNOVX556IN5BSTCTDFLEUHDE}

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	2026-05-18T03:53:05.828043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0ccd756fdef90de865314c65592871908bc6566ca1c61856da8e44ca9663bb5

Aliases

arxiv: 1206.4453 · arxiv_version: 1206.4453v1 · doi: 10.48550/arxiv.1206.4453 · pith_short_12: YDGNOVX556IN · pith_short_16: YDGNOVX556IN5BST · pith_short_8: YDGNOVX5

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/YDGNOVX556IN5BSTCTDFLEUHDE \
  | 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: c0ccd756fdef90de865314c65592871908bc6566ca1c61856da8e44ca9663bb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fa3cbef399ba1e62b353278dcd8d048d725c14a666de94329ea4ca10a578206",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-06-20T10:49:06Z",
    "title_canon_sha256": "6a4a83ef802e0ede59acef7693e520fdbbb993cb615e7203d54c5053d01d8ad6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4453",
    "kind": "arxiv",
    "version": 1
  }
}