Pith Number

pith:QFC6VHVR

pith:2026:QFC6VHVRZNU3T622LNKQ4M5Y75

not attested not anchored not stored refs pending

Linear independence properties of the signature components of time-augmented stochastic processes

Arthur Bourdon, Benjamin Jourdain, Herv\'e Andr\`es

arxiv:2601.10545 v2 · 2026-01-15 · 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{QFC6VHVRZNU3T622LNKQ4M5Y75}

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	2026-05-29T02:05:39.422561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8145ea9eb1cb69b9fb5a5b550e33b8ff51ee007a9636a6ea5b1b60a461e28c60

Aliases

arxiv: 2601.10545 · arxiv_version: 2601.10545v2 · doi: 10.48550/arxiv.2601.10545 · pith_short_12: QFC6VHVRZNU3 · pith_short_16: QFC6VHVRZNU3T622 · pith_short_8: QFC6VHVR

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/QFC6VHVRZNU3T622LNKQ4M5Y75 \
  | 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: 8145ea9eb1cb69b9fb5a5b550e33b8ff51ee007a9636a6ea5b1b60a461e28c60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fccbefd6a70dbdc552caf673f9467cc42dc1f8c8bc9599e3766e63882d0c8967",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-01-15T16:11:14Z",
    "title_canon_sha256": "7863799731fcaab8fa319ad41d608a733b4e76ddc06254395c8b4af8f5cf4316"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.10545",
    "kind": "arxiv",
    "version": 2
  }
}