Pith Number

pith:4VUZTIGR

pith:2016:4VUZTIGRLRROCGGDYL6RZEUW3O

not attested not anchored not stored refs pending

A new pair of non-cobordant surface-links which the Orr invariant, the Cochran sequence, the Sato-Levine invariant, and the alinking number cannot find

Eiji Ogasa

arxiv:1605.06874 v2 · 2016-05-23 · 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{4VUZTIGRLRROCGGDYL6RZEUW3O}

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	2026-05-18T00:47:54.808582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e56999a0d15c62e118c3c2fd1c9296db80800855869cbc4c2be7de88df970e10

Aliases

arxiv: 1605.06874 · arxiv_version: 1605.06874v2 · doi: 10.48550/arxiv.1605.06874 · pith_short_12: 4VUZTIGRLRRO · pith_short_16: 4VUZTIGRLRROCGGD · pith_short_8: 4VUZTIGR

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/4VUZTIGRLRROCGGDYL6RZEUW3O \
  | 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: e56999a0d15c62e118c3c2fd1c9296db80800855869cbc4c2be7de88df970e10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84d5419172e814183fb2ce56ae56cd3886912b80415f84b451a39f4c6482b29c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-05-23T01:58:01Z",
    "title_canon_sha256": "dff9343aa55bb516fe8c677a739a7f727f093d4c983bdd6a06159b9a3dc8213e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.06874",
    "kind": "arxiv",
    "version": 2
  }
}