Pith Number

pith:ZK4LN4HA

pith:2017:ZK4LN4HAB6WCWRHILW7UDGPPBF

not attested not anchored not stored refs pending

Elimination of definite fold II

Osamu Saeki

arxiv:1709.03804 v2 · 2017-09-12 · 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{ZK4LN4HAB6WCWRHILW7UDGPPBF}

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	2026-05-18T00:19:41.856404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cab8b6f0e00fac2b44e85dbf4199ef09490aefa51c470aece7327e55290bc9dd

Aliases

arxiv: 1709.03804 · arxiv_version: 1709.03804v2 · doi: 10.48550/arxiv.1709.03804 · pith_short_12: ZK4LN4HAB6WC · pith_short_16: ZK4LN4HAB6WCWRHI · pith_short_8: ZK4LN4HA

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/ZK4LN4HAB6WCWRHILW7UDGPPBF \
  | 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: cab8b6f0e00fac2b44e85dbf4199ef09490aefa51c470aece7327e55290bc9dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cc0c5b9901992230d895f79d42651c32da739adabc1e20bd4db01f30b91d1e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-09-12T12:26:02Z",
    "title_canon_sha256": "96fee7c3c948ae5ceeac6eb99c4e04f2103d42cc50ae59c3a706bb832c53364c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.03804",
    "kind": "arxiv",
    "version": 2
  }
}