Pith Number

pith:ZS2ZLBBS

pith:2017:ZS2ZLBBSFAY4DBDLKWMYENTMG4

not attested not anchored not stored refs pending

Volume Optimal Cycle: Tightest representative cycle of a generator on persistent homology

Ippei Obayashi

arxiv:1712.05103 v1 · 2017-12-14 · math.AT · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZS2ZLBBSFAY4DBDLKWMYENTMG4}

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	2026-05-18T00:28:01.024535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccb59584322831c1846b559982366c3714d73b1f0f8f9fcf1218f26ad4aead77

Aliases

arxiv: 1712.05103 · arxiv_version: 1712.05103v1 · doi: 10.48550/arxiv.1712.05103 · pith_short_12: ZS2ZLBBSFAY4 · pith_short_16: ZS2ZLBBSFAY4DBDL · pith_short_8: ZS2ZLBBS

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/ZS2ZLBBSFAY4DBDLKWMYENTMG4 \
  | 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: ccb59584322831c1846b559982366c3714d73b1f0f8f9fcf1218f26ad4aead77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09d50815152fdce5dfd5b4cae0f4dba163b861cd5b2a155babf98ebff224d55e",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-12-14T06:24:19Z",
    "title_canon_sha256": "a79442177d07c163f37add16aeeffd2b6c7a54154d33007b0c8edffe2ff668fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.05103",
    "kind": "arxiv",
    "version": 1
  }
}