Pith Number

pith:B4U5H2JO

pith:2011:B4U5H2JO3MOTTK42XZ4KHCQEDE

not attested not anchored not stored refs pending

Sobolev metrics on the manifold of all Riemannian metrics

Martin Bauer, Peter W. Michor, Philipp Harms

arxiv:1102.3347 v4 · 2011-02-16 · 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{B4U5H2JO3MOTTK42XZ4KHCQEDE}

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	2026-05-18T03:25:25.998544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f29d3e92edb1d39ab9abe78a38a041917dca89506403ff157be44eae5d30488

Aliases

arxiv: 1102.3347 · arxiv_version: 1102.3347v4 · doi: 10.48550/arxiv.1102.3347 · pith_short_12: B4U5H2JO3MOT · pith_short_16: B4U5H2JO3MOTTK42 · pith_short_8: B4U5H2JO

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/B4U5H2JO3MOTTK42XZ4KHCQEDE \
  | 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: 0f29d3e92edb1d39ab9abe78a38a041917dca89506403ff157be44eae5d30488

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af5ca6a355a5aebee9ab40fdced93031f01261f2a106d7a38f3a30d3a0a36902",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-02-16T14:31:19Z",
    "title_canon_sha256": "5f272614508844190b9509d150afcfecfb421da18a5b81c3119d08520e115186"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3347",
    "kind": "arxiv",
    "version": 4
  }
}