Pith Number

pith:SXX34W4F

pith:2011:SXX34W4FCGEO46TEFGDW64DS3Z

not attested not anchored not stored refs pending

Addendum to "Spherical structures on torus knots and links"

Alexander Kolpakov

arxiv:1101.1620 v2 · 2011-01-08 · 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{SXX34W4FCGEO46TEFGDW64DS3Z}

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	2026-05-18T02:22:59.763713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95efbe5b851188ee7a6429876f7072de5d07a5ab8a3de14df34483af621466e6

Aliases

arxiv: 1101.1620 · arxiv_version: 1101.1620v2 · doi: 10.48550/arxiv.1101.1620 · pith_short_12: SXX34W4FCGEO · pith_short_16: SXX34W4FCGEO46TE · pith_short_8: SXX34W4F

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/SXX34W4FCGEO46TEFGDW64DS3Z \
  | 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: 95efbe5b851188ee7a6429876f7072de5d07a5ab8a3de14df34483af621466e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01637614f97a0b3d6adc8650006209e412c5b7ed869339ce1b1bf8854fdb1f2e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-01-08T20:47:14Z",
    "title_canon_sha256": "8186a0a16aaa941c130cce01697a1058c7772981bae91b37ac27c632e62bb1f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1620",
    "kind": "arxiv",
    "version": 2
  }
}