Pith Number

pith:URTMK5XC

pith:2005:URTMK5XCKZ2MFGLJPVIN7VZOIU

not attested not anchored not stored refs pending

Sussmann's orbit theorem and maps

Benjamin McKay (University College Cork)

arxiv:math/0508121 v1 · 2005-08-06 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{URTMK5XCKZ2MFGLJPVIN7VZOIU}

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	2026-05-18T04:40:09.620984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a466c576e25674c299697d50dfd72e45326db1bebf608325e18d2dcf352549d1

Aliases

arxiv: math/0508121 · arxiv_version: math/0508121v1 · doi: 10.48550/arxiv.math/0508121 · pith_short_12: URTMK5XCKZ2M · pith_short_16: URTMK5XCKZ2MFGLJ · pith_short_8: URTMK5XC

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/URTMK5XCKZ2MFGLJPVIN7VZOIU \
  | 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: a466c576e25674c299697d50dfd72e45326db1bebf608325e18d2dcf352549d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65c2c09fd7d19ae58dc30dc0a3cbe693a514a96e240a45b7bf50a2aa3e1ee817",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2005-08-06T15:43:42Z",
    "title_canon_sha256": "072cdf6f09f4138df0cbe62c88d972eae9469ed6d207cf71218f5edf5f1fa9f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0508121",
    "kind": "arxiv",
    "version": 1
  }
}