Pith Number

pith:ME3X5OAF

pith:2026:ME3X5OAFO6CYX77RRTSQTXPX35

not attested not anchored not stored refs pending

Remainders of generalised Taylor expansions and a priori bounds for rough differential equations

Alberto Bonicelli, Lorenzo Agabiti, Lorenzo Zambotti

arxiv:2607.18635 v1 · 2026-07-21 · math.PR · math.CO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ME3X5OAFO6CYX77RRTSQTXPX35}

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	2026-07-22T00:22:57.791880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61377eb80577858bfff18ce509ddf7df6a1a20d37571501756c5cc673ddf53f9

Aliases

arxiv: 2607.18635 · arxiv_version: 2607.18635v1 · doi: 10.48550/arxiv.2607.18635 · pith_short_12: ME3X5OAFO6CY · pith_short_16: ME3X5OAFO6CYX77R · pith_short_8: ME3X5OAF

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/ME3X5OAFO6CYX77RRTSQTXPX35 \
  | 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: 61377eb80577858bfff18ce509ddf7df6a1a20d37571501756c5cc673ddf53f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c33f8c94a61bcaef9e24c8554e3bb68e71ad7c4a82c5fd341e59187c7eaadcd2",
    "cross_cats_sorted": [
      "math.CO",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-21T02:09:24Z",
    "title_canon_sha256": "dbf463b1161c959d0af59e1f21f196bd7e69acfb4c62ec355eab95f5a99da0eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18635",
    "kind": "arxiv",
    "version": 1
  }
}