Pith Number

pith:D7F42IJS

pith:2011:D7F42IJSOQUL7NO3YAN52RJWB7

not attested not anchored not stored refs pending

Quasi-Isometric Embeddings into Diffeomorphism Groups

Jarek Kedra, Michael Brandenbursky

arxiv:1108.5126 v2 · 2011-08-25 · math.GT · math.DG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D7F42IJSOQUL7NO3YAN52RJWB7}

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	2026-05-18T01:12:25.448331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fcbcd21327428bfb5dbc01bdd45360feda7b06025fa73c34325bfb430917806

Aliases

arxiv: 1108.5126 · arxiv_version: 1108.5126v2 · doi: 10.48550/arxiv.1108.5126 · pith_short_12: D7F42IJSOQUL · pith_short_16: D7F42IJSOQUL7NO3 · pith_short_8: D7F42IJS

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/D7F42IJSOQUL7NO3YAN52RJWB7 \
  | 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: 1fcbcd21327428bfb5dbc01bdd45360feda7b06025fa73c34325bfb430917806

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92eba0071601ab8a3575f128dd597318c7226fa9f1804bf99db4a0623305dd25",
    "cross_cats_sorted": [
      "math.DG",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-08-25T16:08:50Z",
    "title_canon_sha256": "89993a1f494d244798ffdb258aa34b3572711cc7f0c7bb38097d45aa66fa6f2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5126",
    "kind": "arxiv",
    "version": 2
  }
}