Pith Number

pith:IBO37MDU

pith:2016:IBO37MDUJNIO6C6XZIC4O6HUR7

not attested not anchored not stored refs pending

Ribbon-move-unknotting-number-two 2-knots, pass-move-unknotting-number-two 1-knots, and high dimensional analogue

Eiji Ogasa

arxiv:1612.03325 v1 · 2016-12-10 · 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{IBO37MDUJNIO6C6XZIC4O6HUR7}

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	2026-05-18T00:55:19.607624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

405dbfb0744b50ef0bd7ca05c778f48ff511808029c3985506398794607e24bd

Aliases

arxiv: 1612.03325 · arxiv_version: 1612.03325v1 · doi: 10.48550/arxiv.1612.03325 · pith_short_12: IBO37MDUJNIO · pith_short_16: IBO37MDUJNIO6C6X · pith_short_8: IBO37MDU

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/IBO37MDUJNIO6C6XZIC4O6HUR7 \
  | 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: 405dbfb0744b50ef0bd7ca05c778f48ff511808029c3985506398794607e24bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae433cc30b56327008810e6d7222fa5fd46419db42ce175b113f7615fcd3a9f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-12-10T17:17:07Z",
    "title_canon_sha256": "cb4a003297a023a99eaf2491059484697382175eb93db98f656023adc1c97b4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03325",
    "kind": "arxiv",
    "version": 1
  }
}