Pith Number

pith:YKMZ45VS

pith:2005:YKMZ45VS2T3RSW5V3BLGIS5HIF

not attested not anchored not stored refs pending

Uniqueness for the signature of a path of bounded variation and the reduced path group

Ben Hambly, Terry Lyons

arxiv:math/0507536 v2 · 2005-07-26 · 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{YKMZ45VS2T3RSW5V3BLGIS5HIF}

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	2026-05-18T03:26:32.842240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2999e76b2d4f7195bb5d856644ba7416f30c1dfd765bac7f177b61821b85ef3

Aliases

arxiv: math/0507536 · arxiv_version: math/0507536v2 · doi: 10.48550/arxiv.math/0507536 · pith_short_12: YKMZ45VS2T3R · pith_short_16: YKMZ45VS2T3RSW5V · pith_short_8: YKMZ45VS

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/YKMZ45VS2T3RSW5V3BLGIS5HIF \
  | 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: c2999e76b2d4f7195bb5d856644ba7416f30c1dfd765bac7f177b61821b85ef3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06c12d45f549521177c8e757da9dfef622d4c98fa5f51c2ce37920717ca0fbdc",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2005-07-26T14:25:41Z",
    "title_canon_sha256": "b22e8285e96f4602e3235c7f45d10c5a30f75462d801476d191e43a885e99f0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0507536",
    "kind": "arxiv",
    "version": 2
  }
}