Pith Number

pith:OOYXKIEE

pith:2015:OOYXKIEEJEA3CKPT5EKORGYO2E

not attested not anchored not stored refs pending

New Parities and Coverings over Free Knots

Vassily Olegovich Manturov

arxiv:1508.05555 v2 · 2015-08-23 · 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{OOYXKIEEJEA3CKPT5EKORGYO2E}

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	2026-05-18T01:15:58.308869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73b17520844901b129f3e914e89b0ed126f6c975a40b3aa69b28c485ab297dee

Aliases

arxiv: 1508.05555 · arxiv_version: 1508.05555v2 · doi: 10.48550/arxiv.1508.05555 · pith_short_12: OOYXKIEEJEA3 · pith_short_16: OOYXKIEEJEA3CKPT · pith_short_8: OOYXKIEE

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/OOYXKIEEJEA3CKPT5EKORGYO2E \
  | 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: 73b17520844901b129f3e914e89b0ed126f6c975a40b3aa69b28c485ab297dee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d88f17bb3e15ef362161c07c384115de5086c76c40ab772e7027077df2ec733b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-08-23T01:45:14Z",
    "title_canon_sha256": "3a48b3ddd9aa9ffb728d58cbd0bfd3906769d21f7d01ceeeb445d334659b6520"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05555",
    "kind": "arxiv",
    "version": 2
  }
}