Pith Number

pith:7GR2BBJI

pith:2026:7GR2BBJISWQ37DXMEL4WRAPJFM

not attested not anchored not stored refs pending

Approximate Transitivity of Young Translation on Rough Paths

Carlo Bellingeri, Hugo Nouaille, Paul Gassiat

arxiv:2605.30869 v1 · 2026-05-29 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7GR2BBJISWQ37DXMEL4WRAPJFM}

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	2026-06-01T01:03:22.004216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9a3a0852895a1bf8eec22f96881e92b32680a35c06bb1a02088c264798da64d

Aliases

arxiv: 2605.30869 · arxiv_version: 2605.30869v1 · doi: 10.48550/arxiv.2605.30869 · pith_short_12: 7GR2BBJISWQ3 · pith_short_16: 7GR2BBJISWQ37DXM · pith_short_8: 7GR2BBJI

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/7GR2BBJISWQ37DXMEL4WRAPJFM \
  | 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: f9a3a0852895a1bf8eec22f96881e92b32680a35c06bb1a02088c264798da64d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7968e26ddb1003fc51ccbc7e1136c1671c5aa035a04c4e34c039b6f078c2e7cd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-05-29T05:50:31Z",
    "title_canon_sha256": "0f11a8ccbbba93e5f71cef1a8627eb101442e4d519ce41cb41d6c3a8a8e0d392"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.30869",
    "kind": "arxiv",
    "version": 1
  }
}