Pith Number

pith:E3KJSG6J

pith:2012:E3KJSG6JKLKKU5EXVGHVDQEZRC

not attested not anchored not stored refs pending

Left-orderable fundamental group and Dehn surgery on the knot $5_2$

Masakazu Teragaito, Ryoto Hakamata

arxiv:1208.2087 v1 · 2012-08-10 · 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{E3KJSG6JKLKKU5EXVGHVDQEZRC}

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	2026-05-18T03:49:00.225008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26d4991bc952d4aa7497a98f51c09988b34d4cae7bc96335c88feccf753c1a73

Aliases

arxiv: 1208.2087 · arxiv_version: 1208.2087v1 · doi: 10.48550/arxiv.1208.2087 · pith_short_12: E3KJSG6JKLKK · pith_short_16: E3KJSG6JKLKKU5EX · pith_short_8: E3KJSG6J

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/E3KJSG6JKLKKU5EXVGHVDQEZRC \
  | 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: 26d4991bc952d4aa7497a98f51c09988b34d4cae7bc96335c88feccf753c1a73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41285ad100a15eeb0748d9058926ed6dd5374ba213d86c3c0fb9b888532148b9",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-08-10T05:12:24Z",
    "title_canon_sha256": "28601fba9d91ac7216b379d393ad97dd83e8e0e3855140acd79533300a25a4ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2087",
    "kind": "arxiv",
    "version": 1
  }
}