Pith Number

pith:HSQM32IE

pith:2011:HSQM32IEUL6JROANXKWNGHLZGP

not attested not anchored not stored refs pending

Characteristic submanifold theory and toroidal Dehn filling

Cameron McA. Gordon, Steven Boyer, Xingru Zhang

arxiv:1104.3321 v2 · 2011-04-17 · 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{HSQM32IEUL6JROANXKWNGHLZGP}

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	2026-05-18T03:59:25.609108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ca0cde904a2fc98b80dbaacd31d7933e11abcdadf65e96267a925ba1dbf01aa

Aliases

arxiv: 1104.3321 · arxiv_version: 1104.3321v2 · doi: 10.48550/arxiv.1104.3321 · pith_short_12: HSQM32IEUL6J · pith_short_16: HSQM32IEUL6JROAN · pith_short_8: HSQM32IE

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/HSQM32IEUL6JROANXKWNGHLZGP \
  | 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: 3ca0cde904a2fc98b80dbaacd31d7933e11abcdadf65e96267a925ba1dbf01aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "628c41a64b6ffd47c61d744f25b7e74b10b28678632adbb998e3f26ca590ea51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-04-17T15:39:40Z",
    "title_canon_sha256": "118ab4d9af618f49bb02f24a390e52cffc977d8afe5525812fc518e5052013cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3321",
    "kind": "arxiv",
    "version": 2
  }
}