Pith Number

pith:VBPLUCAE

pith:2010:VBPLUCAETPB43UPY2MFJWMGUBV

not attested not anchored not stored refs pending

Sobolev metrics on shape space of surfaces

Martin Bauer, Peter W. Michor, Philipp Harms

arxiv:1009.3616 v3 · 2010-09-19 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VBPLUCAETPB43UPY2MFJWMGUBV}

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	2026-05-18T04:00:01.375769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a85eba08049bc3cdd1f8d30a9b30d40d558875a0e073137b811084a8a489cf29

Aliases

arxiv: 1009.3616 · arxiv_version: 1009.3616v3 · doi: 10.48550/arxiv.1009.3616 · pith_short_12: VBPLUCAETPB4 · pith_short_16: VBPLUCAETPB43UPY · pith_short_8: VBPLUCAE

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/VBPLUCAETPB43UPY2MFJWMGUBV \
  | 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: a85eba08049bc3cdd1f8d30a9b30d40d558875a0e073137b811084a8a489cf29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ed1b654784a549488de441a2b17a9afa421f70976be8b86a9ef73c54d6733e0",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-09-19T07:51:52Z",
    "title_canon_sha256": "2428b3b0f82f9f392f9b8ef6f29d1001a3a9ca52f7e9f09d32edf41f9431cc0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3616",
    "kind": "arxiv",
    "version": 3
  }
}