Pith Number

pith:FQXLONKP

pith:2011:FQXLONKP2D5JQ2ZWYMYP7HR4XW

not attested not anchored not stored refs pending

Cosmetic crossings of genus one knots

Cheryl Balm, Efstratia Kalfagianni

arxiv:1107.2034 v1 · 2011-07-11 · 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{FQXLONKP2D5JQ2ZWYMYP7HR4XW}

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	2026-05-18T04:18:33.601134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c2eb7354fd0fa986b36c330ff9e3cbd959485ea6529a960ce8d939765b798f4

Aliases

arxiv: 1107.2034 · arxiv_version: 1107.2034v1 · doi: 10.48550/arxiv.1107.2034 · pith_short_12: FQXLONKP2D5J · pith_short_16: FQXLONKP2D5JQ2ZW · pith_short_8: FQXLONKP

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/FQXLONKP2D5JQ2ZWYMYP7HR4XW \
  | 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: 2c2eb7354fd0fa986b36c330ff9e3cbd959485ea6529a960ce8d939765b798f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c25d21c4b8e04ce34505eec9d293862801206c3c7ad1fe5cb55ee70fdedd700",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-07-11T14:04:14Z",
    "title_canon_sha256": "283592e3fa93cb053dd2af3c11b7feaeadeaa8e468c560d94d529047f94d970f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2034",
    "kind": "arxiv",
    "version": 1
  }
}