Pith Number

pith:TQNOJY4P

pith:2014:TQNOJY4PEEO7JXDK3OQC3FLR4C

not attested not anchored not stored refs pending

Obata's rigidity theorem for metric measure spaces

Christian Ketterer

arxiv:1410.5210 v3 · 2014-10-20 · math.MG · 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{TQNOJY4PEEO7JXDK3OQC3FLR4C}

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	2026-05-18T01:28:34.718475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c1ae4e38f211df4dc6adba02d9571e0ad02350f0a817a6e57955b0a53dd2ab5

Aliases

arxiv: 1410.5210 · arxiv_version: 1410.5210v3 · doi: 10.48550/arxiv.1410.5210 · pith_short_12: TQNOJY4PEEO7 · pith_short_16: TQNOJY4PEEO7JXDK · pith_short_8: TQNOJY4P

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/TQNOJY4PEEO7JXDK3OQC3FLR4C \
  | 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: 9c1ae4e38f211df4dc6adba02d9571e0ad02350f0a817a6e57955b0a53dd2ab5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9156b6a86ef6b2bbb473a4221f7bf86dfb4258bee43b2032947af3573db988f",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-10-20T09:50:39Z",
    "title_canon_sha256": "c85c4e8c8ef21d8467e802d737b74dde4138719ce71df5748205802d881e2aa8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.5210",
    "kind": "arxiv",
    "version": 3
  }
}