Pith Number

pith:KL3N7NXV

pith:2015:KL3N7NXVCBV6UL73RJSMNXLXRL

not attested not anchored not stored refs pending

The lowest volume 3-orbifolds with high torsion

Christopher K. Atkinson, David Futer

arxiv:1507.07894 v2 · 2015-07-28 · 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{KL3N7NXVCBV6UL73RJSMNXLXRL}

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	2026-05-18T00:44:58.327010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52f6dfb6f5106bea2ffb8a64c6dd778aeeba902b89fe35e183f0024c2d1c7901

Aliases

arxiv: 1507.07894 · arxiv_version: 1507.07894v2 · doi: 10.48550/arxiv.1507.07894 · pith_short_12: KL3N7NXVCBV6 · pith_short_16: KL3N7NXVCBV6UL73 · pith_short_8: KL3N7NXV

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/KL3N7NXVCBV6UL73RJSMNXLXRL \
  | 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: 52f6dfb6f5106bea2ffb8a64c6dd778aeeba902b89fe35e183f0024c2d1c7901

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f387292b2c404ab5ca4cbed7c29860aac15fee0342d60ea25bcbbde09eb8c050",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-07-28T18:40:41Z",
    "title_canon_sha256": "4615e607fe98f148eb7280aa8d0205e812c3a6746b238925ecdd770c517fbc29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07894",
    "kind": "arxiv",
    "version": 2
  }
}