Pith Number

pith:HJYPODK7

pith:2011:HJYPODK753IEELVA6AKXTOK3YF

not attested not anchored not stored refs pending

Closed planar curves without inflections

Masaaki Umehara, Shuntaro Ohno, Tetsuya Ozawa

arxiv:1103.3343 v1 · 2011-03-17 · math.DG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HJYPODK753IEELVA6AKXTOK3YF}

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	2026-05-18T04:26:33.905152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a70f70d5feed0422ea0f01579b95bc16f0850174a7a2ac9b6de574a33d8c8c5

Aliases

arxiv: 1103.3343 · arxiv_version: 1103.3343v1 · doi: 10.48550/arxiv.1103.3343 · pith_short_12: HJYPODK753IE · pith_short_16: HJYPODK753IEELVA · pith_short_8: HJYPODK7

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/HJYPODK753IEELVA6AKXTOK3YF \
  | 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: 3a70f70d5feed0422ea0f01579b95bc16f0850174a7a2ac9b6de574a33d8c8c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "255bfb2ff561fb7534eb89e7c2c307e1f79f2044adaf93640058e9708a87bc61",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-03-17T06:26:06Z",
    "title_canon_sha256": "23d9ed7b847c77598a94a97b724e304a4cb29a1167556ad6eea531926076d0d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3343",
    "kind": "arxiv",
    "version": 1
  }
}