Pith Number

pith:TYRMFSP6

pith:2018:TYRMFSP6ZI35MQEMRAZC3PHGCE

not attested not anchored not stored refs pending

Torus orbifolds with two fixed points

Alastair Darby, Jongbaek Song, Shintaro Kuroki

arxiv:1809.04402 v1 · 2018-09-12 · math.GT · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TYRMFSP6ZI35MQEMRAZC3PHGCE}

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	2026-05-17T23:54:53.840872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e22c2c9feca37d6408c88322dbce611211efec8801e67c38756b9c3ae47f600

Aliases

arxiv: 1809.04402 · arxiv_version: 1809.04402v1 · doi: 10.48550/arxiv.1809.04402 · pith_short_12: TYRMFSP6ZI35 · pith_short_16: TYRMFSP6ZI35MQEM · pith_short_8: TYRMFSP6

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/TYRMFSP6ZI35MQEMRAZC3PHGCE \
  | 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: 9e22c2c9feca37d6408c88322dbce611211efec8801e67c38756b9c3ae47f600

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1dd5390e611b4bf2d1fc9ff28d76b1ad059a727b612fe69b025c9b39f1731dd",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-09-12T13:14:09Z",
    "title_canon_sha256": "eecbca5aad2aee6ceb470b017b8aed940cb46146934943e478c63da36ecc64cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.04402",
    "kind": "arxiv",
    "version": 1
  }
}