Pith Number

pith:ZGXDDG2L

pith:2010:ZGXDDG2L5PUNNLIALUKRU6IMKO

not attested not anchored not stored refs pending

Spherical structures on torus knots and links

Alexander Kolpakov, Alexander Mednykh

arxiv:1008.0312 v5 · 2010-08-02 · math.GT · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZGXDDG2L5PUNNLIALUKRU6IMKO}

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	2026-05-18T04:18:45.022802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9ae319b4bebe8d6ad005d151a790c53943b59da13b4cc90aa45fb1b8d661377

Aliases

arxiv: 1008.0312 · arxiv_version: 1008.0312v5 · doi: 10.48550/arxiv.1008.0312 · pith_short_12: ZGXDDG2L5PUN · pith_short_16: ZGXDDG2L5PUNNLIA · pith_short_8: ZGXDDG2L

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/ZGXDDG2L5PUNNLIALUKRU6IMKO \
  | 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: c9ae319b4bebe8d6ad005d151a790c53943b59da13b4cc90aa45fb1b8d661377

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0b6f002c5e43577bd9bd2944d680f813e77992214b14bcaae2dbe5a9de0081f",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-08-02T14:16:37Z",
    "title_canon_sha256": "949ff0536a2392397e4b23f1b4c20864d7a106c881907748684164187576f5e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0312",
    "kind": "arxiv",
    "version": 5
  }
}