Pith Number

pith:JP2RTM7M

pith:2015:JP2RTM7MS7HNQBP7RGXNYBCNGJ

not attested not anchored not stored refs pending

Lojasiewicz-Simon gradient inequalities for coupled Yang-Mills energy functions

Manousos Maridakis, Paul M. N. Feehan

arxiv:1510.03815 v6 · 2015-10-13 · math.DG · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JP2RTM7MS7HNQBP7RGXNYBCNGJ}

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	2026-05-17T23:56:25.401838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bf519b3ec97ced805ff89aedc044d32624e9a2b93f28dfecf546f8ada239176

Aliases

arxiv: 1510.03815 · arxiv_version: 1510.03815v6 · doi: 10.48550/arxiv.1510.03815 · pith_short_12: JP2RTM7MS7HN · pith_short_16: JP2RTM7MS7HNQBP7 · pith_short_8: JP2RTM7M

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/JP2RTM7MS7HNQBP7RGXNYBCNGJ \
  | 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: 4bf519b3ec97ced805ff89aedc044d32624e9a2b93f28dfecf546f8ada239176

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bff8506e4faf09f6513d6988c98b14387c327168bd09f9090b7a96a3950b29e",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-10-13T18:51:01Z",
    "title_canon_sha256": "897efae10dc5e124d72f239e1531e11803f59e49ad21c232436b7e24355c15ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03815",
    "kind": "arxiv",
    "version": 6
  }
}