Pith Number

pith:C2KEUP4F

pith:2017:C2KEUP4FUTC23TAL6H2X7LDELR

not attested not anchored not stored refs pending

Tractors and Tractrices in Riemannian Manifolds

Jesper J. Madsen, Steen Markvorsen

arxiv:1707.09532 v1 · 2017-07-29 · 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{C2KEUP4FUTC23TAL6H2X7LDELR}

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	2026-05-18T00:39:11.016977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16944a3f85a4c5adcc0bf1f57fac645c72a71b17736b0cc33dcfb51287bfc16a

Aliases

arxiv: 1707.09532 · arxiv_version: 1707.09532v1 · doi: 10.48550/arxiv.1707.09532 · pith_short_12: C2KEUP4FUTC2 · pith_short_16: C2KEUP4FUTC23TAL · pith_short_8: C2KEUP4F

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/C2KEUP4FUTC23TAL6H2X7LDELR \
  | 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: 16944a3f85a4c5adcc0bf1f57fac645c72a71b17736b0cc33dcfb51287bfc16a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74355bc0ad807e52dc5ee12b3110cce133a4bb0883a15a9f29656ae10a83880c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-07-29T15:45:26Z",
    "title_canon_sha256": "dd618825bd98bcaffb714564938cfddb067e68adde4e6bd5c849708f295b6f7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.09532",
    "kind": "arxiv",
    "version": 1
  }
}