Pith Number

pith:FOGSE3IR

pith:2013:FOGSE3IRQG7XMLOVSVKETJASPM

not attested not anchored not stored refs pending

On left-orderable fundamental groups and Dehn surgeries on knots

Anh T. Tran

arxiv:1301.2637 v3 · 2013-01-12 · 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{FOGSE3IRQG7XMLOVSVKETJASPM}

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	2026-05-18T03:20:48.283917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b8d226d1181bf762dd5955449a4127b3c3eff373edafbc720ea14d68f7a6b2c

Aliases

arxiv: 1301.2637 · arxiv_version: 1301.2637v3 · doi: 10.48550/arxiv.1301.2637 · pith_short_12: FOGSE3IRQG7X · pith_short_16: FOGSE3IRQG7XMLOV · pith_short_8: FOGSE3IR

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/FOGSE3IRQG7XMLOVSVKETJASPM \
  | 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: 2b8d226d1181bf762dd5955449a4127b3c3eff373edafbc720ea14d68f7a6b2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04553ef023b3829988a747b2b7f5e3a9821eebebae048df9f1939162628e5a50",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-01-12T01:17:55Z",
    "title_canon_sha256": "2ee5489213d392ce9869fda2502dc9f952b218664927e73642d85d63b95f919a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2637",
    "kind": "arxiv",
    "version": 3
  }
}