Pith Number

pith:TKL5AYL4

pith:2012:TKL5AYL4YDFMWEIDC7FHE2LIMX

not attested not anchored not stored refs pending

Compactness of immersions with local Lipschitz representation

Patrick Breuning

arxiv:1201.4993 v1 · 2012-01-24 · 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{TKL5AYL4YDFMWEIDC7FHE2LIMX}

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	2026-05-18T01:58:42.777623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a97d0617cc0cacb110317ca72696865dba806cf1be5bf2867da61c6f439ec65

Aliases

arxiv: 1201.4993 · arxiv_version: 1201.4993v1 · doi: 10.48550/arxiv.1201.4993 · pith_short_12: TKL5AYL4YDFM · pith_short_16: TKL5AYL4YDFMWEID · pith_short_8: TKL5AYL4

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/TKL5AYL4YDFMWEIDC7FHE2LIMX \
  | 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: 9a97d0617cc0cacb110317ca72696865dba806cf1be5bf2867da61c6f439ec65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0aba52c6c7cb614d26742e66f4369d22ffebcdb4780fdf7c2b9438ec33105b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-01-24T14:50:43Z",
    "title_canon_sha256": "5035cdb094e113e0a01c7564a5e2700a967ad974b2add15489582a696c1cefcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4993",
    "kind": "arxiv",
    "version": 1
  }
}