Pith Number

pith:UBTHKWXV

pith:2015:UBTHKWXVZ7CNLXCLHHF7UFTQO4

not attested not anchored not stored refs pending

What Happens to a Manifold Under a Bi-Lipschitz Map?

Armin Eftekhari, Michael B. Wakin

arxiv:1512.06906 v3 · 2015-12-21 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UBTHKWXVZ7CNLXCLHHF7UFTQO4}

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	2026-05-18T00:57:31.700162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a066755af5cfc4d5dc4b39cbfa167077048e3d904d74ba3919ec4ef62f86229b

Aliases

arxiv: 1512.06906 · arxiv_version: 1512.06906v3 · doi: 10.48550/arxiv.1512.06906 · pith_short_12: UBTHKWXVZ7CN · pith_short_16: UBTHKWXVZ7CNLXCL · pith_short_8: UBTHKWXV

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/UBTHKWXVZ7CNLXCLHHF7UFTQO4 \
  | 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: a066755af5cfc4d5dc4b39cbfa167077048e3d904d74ba3919ec4ef62f86229b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c35793603db06d8b9aa7e6749382ffa3f5417d43e29a834fdaa60d60b3b9de8c",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-12-21T23:18:54Z",
    "title_canon_sha256": "5a0538623ce68bdcd4deb8c4b6b8ef4947c277408bf37dadd0f0d937f6f007de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06906",
    "kind": "arxiv",
    "version": 3
  }
}