Pith Number

pith:JEM73GI2

pith:2015:JEM73GI2NUCJ2CCNJQVEYNM5IT

not attested not anchored not stored refs pending

Numerical Study of a Particle Method for Gradient Flows

F. S. Patacchini, G. Wolansky, J. A. Carrillo, Y. Huang

arxiv:1512.03029 v3 · 2015-12-09 · math.AP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JEM73GI2NUCJ2CCNJQVEYNM5IT}

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	2026-05-18T00:55:52.154293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4919fd991a6d049d084d4c2a4c359d44c827ba93ce8635e9d4b10449ae68a5f9

Aliases

arxiv: 1512.03029 · arxiv_version: 1512.03029v3 · doi: 10.48550/arxiv.1512.03029 · pith_short_12: JEM73GI2NUCJ · pith_short_16: JEM73GI2NUCJ2CCN · pith_short_8: JEM73GI2

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/JEM73GI2NUCJ2CCNJQVEYNM5IT \
  | 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: 4919fd991a6d049d084d4c2a4c359d44c827ba93ce8635e9d4b10449ae68a5f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e08e7423dceeb2fbb7b988683a2730c70e6a7c898970f5c4cae392e321107f2",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-09T20:19:28Z",
    "title_canon_sha256": "b95db78066801a35b381bce731acde4832b85af1296a09fa9d571d6630034b17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03029",
    "kind": "arxiv",
    "version": 3
  }
}