Pith Number

pith:DRGJQVGK

pith:2015:DRGJQVGK4INPWFIIQ4KPKZI3UM

not attested not anchored not stored refs pending

The theory of rough paths via one-forms and the extension of an argument of Schwartz to rough differential equations

Danyu Yang, Terry Lyons

arxiv:1503.06175 v2 · 2015-03-20 · math.CA

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

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	2026-05-18T01:51:49.200734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c4c9854cae21afb15088714f5651ba336e1b393122853486ca3341bef2a550c

Aliases

arxiv: 1503.06175 · arxiv_version: 1503.06175v2 · doi: 10.48550/arxiv.1503.06175 · pith_short_12: DRGJQVGK4INP · pith_short_16: DRGJQVGK4INPWFII · pith_short_8: DRGJQVGK

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/DRGJQVGK4INPWFIIQ4KPKZI3UM \
  | 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: 1c4c9854cae21afb15088714f5651ba336e1b393122853486ca3341bef2a550c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3489d87f717d5906803ba3156a4174f47d7fbdca145c6d64b0060270962109c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-03-20T17:41:28Z",
    "title_canon_sha256": "b7429fb903313ea2ad7f2c594add4eebf139e3251b22d3acb324cf3adda6eb49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06175",
    "kind": "arxiv",
    "version": 2
  }
}