Pith Number

pith:IML2ECU4

pith:2017:IML2ECU4DMDXUCFMBUYLNRFJKC

not attested not anchored not stored refs pending

Smoothing closed gridded surfaces embedded in ${\mathbb R}^4$

Alberto Verjovsky, Gabriela Hinojosa, Juan Pablo D\'iaz, Rogelio Valdez

arxiv:1702.05467 v1 · 2017-02-17 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IML2ECU4DMDXUCFMBUYLNRFJKC}

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	2026-05-18T00:50:31.620641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4317a20a9c1b077a08ac0d30b6c4a950bec9628c8acb3138e531c1fb6a12ef0a

Aliases

arxiv: 1702.05467 · arxiv_version: 1702.05467v1 · doi: 10.48550/arxiv.1702.05467 · pith_short_12: IML2ECU4DMDX · pith_short_16: IML2ECU4DMDXUCFM · pith_short_8: IML2ECU4

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/IML2ECU4DMDXUCFMBUYLNRFJKC \
  | 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: 4317a20a9c1b077a08ac0d30b6c4a950bec9628c8acb3138e531c1fb6a12ef0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b59f47311b2fcdedeb97e270e91a691997017f5dcf45c859c2cc86c09eaa87b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-02-17T18:25:29Z",
    "title_canon_sha256": "a75a19da0d8a38d6e124d4ff80d76443b05a54210d0d4288f8eaa4dc0c4a8afe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.05467",
    "kind": "arxiv",
    "version": 1
  }
}