Pith Number

pith:YBWT4ORA

pith:2015:YBWT4ORANUNLCNKBJURHPVAT2Y

not attested not anchored not stored refs pending

Variational approach to coarse-graining of generalized gradient flows

Agnes Lamacz, Manh Hong Duong, Mark A. Peletier, Upanshu Sharma

arxiv:1507.03207 v2 · 2015-07-12 · 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{YBWT4ORANUNLCNKBJURHPVAT2Y}

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	2026-05-18T00:49:36.931304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c06d3e3a206d1ab135414d2277d413d61130cbd7088e7b6ab33100056a0bb1de

Aliases

arxiv: 1507.03207 · arxiv_version: 1507.03207v2 · doi: 10.48550/arxiv.1507.03207 · pith_short_12: YBWT4ORANUNL · pith_short_16: YBWT4ORANUNLCNKB · pith_short_8: YBWT4ORA

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/YBWT4ORANUNLCNKBJURHPVAT2Y \
  | 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: c06d3e3a206d1ab135414d2277d413d61130cbd7088e7b6ab33100056a0bb1de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cca2a0746b62f59d6d5799bffd350882149b268cb5433fe1bd576325e2b3fce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-07-12T09:09:58Z",
    "title_canon_sha256": "965497e5d308fb83d126adb168ad78c37b6466b832923785bdd8382c4872abb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03207",
    "kind": "arxiv",
    "version": 2
  }
}