Pith Number

pith:IWHUOWR6

pith:2011:IWHUOWR6SDSASUOTTGLCIMDEPF

not attested not anchored not stored refs pending

On slope genera of knotted tori in 4-space

Hongbin Sun, Shicheng Wang, Yi Liu, Yi Ni

arxiv:1110.1921 v4 · 2011-10-10 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IWHUOWR6SDSASUOTTGLCIMDEPF}

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	2026-05-18T03:34:16.434638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

458f475a3e90e40951d3999624306479764a8f47f1e13519f270412a929ee9c0

Aliases

arxiv: 1110.1921 · arxiv_version: 1110.1921v4 · doi: 10.48550/arxiv.1110.1921 · pith_short_12: IWHUOWR6SDSA · pith_short_16: IWHUOWR6SDSASUOT · pith_short_8: IWHUOWR6

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/IWHUOWR6SDSASUOTTGLCIMDEPF \
  | 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: 458f475a3e90e40951d3999624306479764a8f47f1e13519f270412a929ee9c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2fd24b8c9b83bcc5bad730ab2f55f1e15d07db5ee63ec7f5304a1b72d49f7c6",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-10-10T03:53:40Z",
    "title_canon_sha256": "07ee2b464abfd845f90b62657012b2b1b3dead455d7e6adda86adfd6f732d7c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1921",
    "kind": "arxiv",
    "version": 4
  }
}