Pith Number

pith:TGGYJWDL

pith:2011:TGGYJWDLVRHPOVLMHX2I57NQXE

not attested not anchored not stored refs pending

Smooth approximation of bi-Lipschitz orientation-preserving homeomorphisms

Aldo Pratelli, Sara Daneri

arxiv:1106.1192 v2 · 2011-06-06 · 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{TGGYJWDLVRHPOVLMHX2I57NQXE}

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	2026-05-18T04:10:08.674804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

998d84d86bac4ef7556c3df48efdb0b929b8823c71340b9c80f8d45436bbc247

Aliases

arxiv: 1106.1192 · arxiv_version: 1106.1192v2 · doi: 10.48550/arxiv.1106.1192 · pith_short_12: TGGYJWDLVRHP · pith_short_16: TGGYJWDLVRHPOVLM · pith_short_8: TGGYJWDL

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/TGGYJWDLVRHPOVLMHX2I57NQXE \
  | 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: 998d84d86bac4ef7556c3df48efdb0b929b8823c71340b9c80f8d45436bbc247

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ad4ae436dd58c29810f47809be29c3d5bdb41249f324880af6bbdf127952d7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-06-06T20:28:35Z",
    "title_canon_sha256": "cf5e9d456635cb10f1e1c2b62cbf1b80aef98ca542287b25100c05e16e2a35b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1192",
    "kind": "arxiv",
    "version": 2
  }
}