Pith Number

pith:TJQJE2RS

pith:2013:TJQJE2RS5JSZGD3NGU45MYESCF

not attested not anchored not stored refs pending

Path-dependent rough differential equations

Ismael Bailleul

arxiv:1309.1291 v1 · 2013-09-05 · math.PR · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TJQJE2RS5JSZGD3NGU45MYESCF}

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	2026-05-18T03:14:07.708990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a60926a32ea65930f6d3539d66092115e70376ea71dd08e919371240d51ccc7

Aliases

arxiv: 1309.1291 · arxiv_version: 1309.1291v1 · doi: 10.48550/arxiv.1309.1291 · pith_short_12: TJQJE2RS5JSZ · pith_short_16: TJQJE2RS5JSZGD3N · pith_short_8: TJQJE2RS

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/TJQJE2RS5JSZGD3NGU45MYESCF \
  | 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: 9a60926a32ea65930f6d3539d66092115e70376ea71dd08e919371240d51ccc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4f8b31bf87b03ed73b824d6d500d154104f27a224cb6b598bd77ab532649002",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-09-05T09:31:27Z",
    "title_canon_sha256": "2206b01f9e87307146e7dc8568252e83a68f872fc5a65c65e69a879d84fe5e53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1291",
    "kind": "arxiv",
    "version": 1
  }
}