Pith Number

pith:FOONOPRR

pith:2024:FOONOPRRJ4KWQ5Q7FSO4G52GZ5

not attested not anchored not stored refs pending

Cosmetic surgery on satellite knots

Qiuyu Ren

arxiv:2411.13828 v2 · 2024-11-21 · 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{FOONOPRRJ4KWQ5Q7FSO4G52GZ5}

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	2026-07-05T12:01:55.876645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b9cd73e314f1568761f2c9dc37746cf5b43b41975016bbb459aa8ace34a7203

Aliases

arxiv: 2411.13828 · arxiv_version: 2411.13828v2 · doi: 10.48550/arxiv.2411.13828 · pith_short_12: FOONOPRRJ4KW · pith_short_16: FOONOPRRJ4KWQ5Q7 · pith_short_8: FOONOPRR

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/FOONOPRRJ4KWQ5Q7FSO4G52GZ5 \
  | 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: 2b9cd73e314f1568761f2c9dc37746cf5b43b41975016bbb459aa8ace34a7203

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee2831fb429bdabf5eed8356ea95af63d681aeb777547be6d18f745b21b05ec8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-11-21T04:30:33Z",
    "title_canon_sha256": "3e81bccc5e55378a83bf552da109b6f52015178694d59880870683f305e64231"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.13828",
    "kind": "arxiv",
    "version": 2
  }
}