Pith Number

pith:AZK2LR35

pith:2015:AZK2LR35ZYXN4NRFR4USZIU6EO

not attested not anchored not stored refs pending

Double coverings of twisted links

Naoko Kamada, Seiichi Kamada

arxiv:1510.03001 v3 · 2015-10-11 · 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{AZK2LR35ZYXN4NRFR4USZIU6EO}

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	2026-05-18T01:23:08.003294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0655a5c77dce2ede36258f292ca29e2389ad9db235c2fc06c12918447b90232f

Aliases

arxiv: 1510.03001 · arxiv_version: 1510.03001v3 · doi: 10.48550/arxiv.1510.03001 · pith_short_12: AZK2LR35ZYXN · pith_short_16: AZK2LR35ZYXN4NRF · pith_short_8: AZK2LR35

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/AZK2LR35ZYXN4NRFR4USZIU6EO \
  | 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: 0655a5c77dce2ede36258f292ca29e2389ad9db235c2fc06c12918447b90232f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64269253171ad0a7821961748f948fe0226f8081265b3e76dbe46a53ff22f293",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-10-11T02:33:26Z",
    "title_canon_sha256": "85e60b869f613eb72dc93585590a8fe0de7dcec8ead3fb8116fd250660ae672c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03001",
    "kind": "arxiv",
    "version": 3
  }
}