Pith Number

pith:KE3H344L

pith:2016:KE3H344LHGIWIEVGYLVTFTKGS2

not attested not anchored not stored refs pending

Existence of solutions of the master equation in the smooth case

Ugo Bessi

arxiv:1612.06277 v1 · 2016-12-16 · math.AP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KE3H344LHGIWIEVGYLVTFTKGS2}

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.

Cited by

1 paper in Pith

Momentum Further Constrains Sharpness at the Edge of Stochastic Stability

Receipt and verification

First computed	2026-05-18T00:54:42.594633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51367df38b39916412a6c2eb32cd4696b21b842b7f7a917bf2fee206447b9601

Aliases

arxiv: 1612.06277 · arxiv_version: 1612.06277v1 · doi: 10.48550/arxiv.1612.06277 · pith_short_12: KE3H344LHGIW · pith_short_16: KE3H344LHGIWIEVG · pith_short_8: KE3H344L

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/KE3H344LHGIWIEVGYLVTFTKGS2 \
  | 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: 51367df38b39916412a6c2eb32cd4696b21b842b7f7a917bf2fee206447b9601

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09b486fdc904daf31a64892120567c4e19bede6551d83207413c2bbeb12a9ee2",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-16T14:58:57Z",
    "title_canon_sha256": "2a64a5cff1505e35b11fce03d2d26d80a125ebe26be8bdf2dcdf8bd3a18ecd6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06277",
    "kind": "arxiv",
    "version": 1
  }
}