Pith Number

pith:ZXDKOEBV

pith:2016:ZXDKOEBVWCFLK7BIU2S3U4OYWD

not attested not anchored not stored refs pending

Restrictions on Submanifolds via Focal Radius Bounds

Frederick Wilhelm, Luis Guijarro

arxiv:1606.04121 v3 · 2016-06-13 · 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{ZXDKOEBVWCFLK7BIU2S3U4OYWD}

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	2026-05-17T23:52:56.383403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdc6a71035b08ab57c28a6a5ba71d8b0d9a0d702b751fe7debaa262dfa36f473

Aliases

arxiv: 1606.04121 · arxiv_version: 1606.04121v3 · doi: 10.48550/arxiv.1606.04121 · pith_short_12: ZXDKOEBVWCFL · pith_short_16: ZXDKOEBVWCFLK7BI · pith_short_8: ZXDKOEBV

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/ZXDKOEBVWCFLK7BIU2S3U4OYWD \
  | 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: cdc6a71035b08ab57c28a6a5ba71d8b0d9a0d702b751fe7debaa262dfa36f473

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f32199b4daf30739d5ac0e3962f6b3b28dc33239de7f40773ff07515f99fd58",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-06-13T20:06:22Z",
    "title_canon_sha256": "6b52872b61062ec4654133748cb65dde11329512ec439171defdc6badb63c3ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04121",
    "kind": "arxiv",
    "version": 3
  }
}