Pith Number

pith:43TYQ53C

pith:2015:43TYQ53CNHABXRFLGOG4WKPNPH

not attested not anchored not stored refs pending

Why Use Sobolev Metrics on the Space of Curves

Martin Bauer, Martins Bruveris, Peter W. Michor

arxiv:1502.03229 v1 · 2015-02-11 · math.DG · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{43TYQ53CNHABXRFLGOG4WKPNPH}

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	2026-05-18T00:39:07.314472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6e788776269c01bc4ab338dcb29ed79d9a75cec3e142c84fa8e3faa20f6abc3

Aliases

arxiv: 1502.03229 · arxiv_version: 1502.03229v1 · doi: 10.48550/arxiv.1502.03229 · pith_short_12: 43TYQ53CNHAB · pith_short_16: 43TYQ53CNHABXRFL · pith_short_8: 43TYQ53C

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/43TYQ53CNHABXRFLGOG4WKPNPH \
  | 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: e6e788776269c01bc4ab338dcb29ed79d9a75cec3e142c84fa8e3faa20f6abc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70a2cbef187406d015c07705f726b0dee843b5c6f09c0419cfe473b1776d5939",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-02-11T09:28:38Z",
    "title_canon_sha256": "95706be4ec6864106937f45dd286390b7ce4c00bd53d936edacafc06c8128ae5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.03229",
    "kind": "arxiv",
    "version": 1
  }
}