Pith Number

pith:P6SPSNOX

pith:2013:P6SPSNOXEFVJGCVWEDLB7DKFMQ

not attested not anchored not stored refs pending

Equivalence of two diagram representations of links in lens spaces and essential invariants

Alessia Cattabriga, Enrico Manfredi, Lorenzo Rigolli

arxiv:1312.2230 v1 · 2013-12-08 · 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{P6SPSNOXEFVJGCVWEDLB7DKFMQ}

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	2026-05-18T03:05:10.922653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fa4f935d7216a930ab620d61f8d4564225ea6d1d5dc9bd75bce651e700d7136

Aliases

arxiv: 1312.2230 · arxiv_version: 1312.2230v1 · doi: 10.48550/arxiv.1312.2230 · pith_short_12: P6SPSNOXEFVJ · pith_short_16: P6SPSNOXEFVJGCVW · pith_short_8: P6SPSNOX

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/P6SPSNOXEFVJGCVWEDLB7DKFMQ \
  | 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: 7fa4f935d7216a930ab620d61f8d4564225ea6d1d5dc9bd75bce651e700d7136

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9cdf9d37c1d6fed632eebb881909fe325d0af7d73296f04c7a40c018e5f7e03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-12-08T15:35:00Z",
    "title_canon_sha256": "9cfb36ffa485c208ae876ca203ad491c799518827593312d61710c662c13f033"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2230",
    "kind": "arxiv",
    "version": 1
  }
}