Pith Number

pith:2TCIZN6H

pith:2014:2TCIZN6H5DSLTYULTZFHSSN4TP

not attested not anchored not stored refs pending

Failure of topological rigidity results for the measure contraction property

Christian Ketterer, Tapio Rajala

arxiv:1403.3105 v1 · 2014-03-12 · 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{2TCIZN6H5DSLTYULTZFHSSN4TP}

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	2026-05-18T02:56:31.925996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4c48cb7c7e8e4b9e28b9e4a7949bc9bc1fa816c39e237c3e2edacc054bd7fc0

Aliases

arxiv: 1403.3105 · arxiv_version: 1403.3105v1 · doi: 10.48550/arxiv.1403.3105 · pith_short_12: 2TCIZN6H5DSL · pith_short_16: 2TCIZN6H5DSLTYUL · pith_short_8: 2TCIZN6H

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/2TCIZN6H5DSLTYULTZFHSSN4TP \
  | 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: d4c48cb7c7e8e4b9e28b9e4a7949bc9bc1fa816c39e237c3e2edacc054bd7fc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2563d9a5809d4963f98469a0c2607d6763e06402e86e3114503f6bffb95824c",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-03-12T20:16:55Z",
    "title_canon_sha256": "2b612902c76c68d66475a4138bca1ef591ef969cf9b092259c638365c89b12b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.3105",
    "kind": "arxiv",
    "version": 1
  }
}