Pith Number

pith:TH3CYV4Y

pith:2012:TH3CYV4YARXCAUASYQSRHMUCXA

not attested not anchored not stored refs pending

Exceptional Slopes on Manifolds of Small Complexity

Fionntan Roukema

arxiv:1210.1824 v3 · 2012-10-05 · 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{TH3CYV4YARXCAUASYQSRHMUCXA}

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	2026-05-18T01:28:26.373401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99f62c5798046e205012c42513b282b82795754eee3aeda34e0ae883b91812af

Aliases

arxiv: 1210.1824 · arxiv_version: 1210.1824v3 · doi: 10.48550/arxiv.1210.1824 · pith_short_12: TH3CYV4YARXC · pith_short_16: TH3CYV4YARXCAUAS · pith_short_8: TH3CYV4Y

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/TH3CYV4YARXCAUASYQSRHMUCXA \
  | 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: 99f62c5798046e205012c42513b282b82795754eee3aeda34e0ae883b91812af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e78d7dbc73e18c8cea07e3b87ed5b03c22710e0dab6daa1aabe225943e29bbf7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-10-05T17:46:41Z",
    "title_canon_sha256": "808dba9abdb0f56c31c2a510fbbc1f25faa868a980b3ac0a60a472b0e3fec82c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1824",
    "kind": "arxiv",
    "version": 3
  }
}