Pith Number

pith:NVZFKI6Q

pith:2015:NVZFKI6QFUVPWKFIZW3JQPY7K3

not attested not anchored not stored refs pending

Variations of 4-dimensional twists obtained by an infinite order plug

Motoo Tange

arxiv:1508.03092 v3 · 2015-08-13 · 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{NVZFKI6QFUVPWKFIZW3JQPY7K3}

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	2026-05-18T01:32:36.799822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d725523d02d2afb28a8cdb6983f1f56d98e7e8a8a24ebed47c931a9490ad0c5

Aliases

arxiv: 1508.03092 · arxiv_version: 1508.03092v3 · doi: 10.48550/arxiv.1508.03092 · pith_short_12: NVZFKI6QFUVP · pith_short_16: NVZFKI6QFUVPWKFI · pith_short_8: NVZFKI6Q

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/NVZFKI6QFUVPWKFIZW3JQPY7K3 \
  | 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: 6d725523d02d2afb28a8cdb6983f1f56d98e7e8a8a24ebed47c931a9490ad0c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20f9eeb9c9303bf0c688c7cd044a35a11dba9680d40ec5889fbe2b460f5b00ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-08-13T00:33:01Z",
    "title_canon_sha256": "57eea7826e6fe661495f9cfc99026f8ef55cac9091f2ce11f7f00551e4f09dac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03092",
    "kind": "arxiv",
    "version": 3
  }
}