Pith Number

pith:QWEG5VJE

pith:2011:QWEG5VJEYF6QQLDIYFCYIJDYVY

not attested not anchored not stored refs pending

Bypass attachments and homotopy classes of 2-plane fields in contact topology

Yang Huang

arxiv:1105.2348 v2 · 2011-05-12 · 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{QWEG5VJEYF6QQLDIYFCYIJDYVY}

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	2026-05-18T04:22:10.062234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85886ed524c17d082c68c145842478ae3995d26736f3b56691bfd0876bb1e6be

Aliases

arxiv: 1105.2348 · arxiv_version: 1105.2348v2 · doi: 10.48550/arxiv.1105.2348 · pith_short_12: QWEG5VJEYF6Q · pith_short_16: QWEG5VJEYF6QQLDI · pith_short_8: QWEG5VJE

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/QWEG5VJEYF6QQLDIYFCYIJDYVY \
  | 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: 85886ed524c17d082c68c145842478ae3995d26736f3b56691bfd0876bb1e6be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "966528e0c0eb2ffb246528224820447dd3fa43fb42a23f055397fa3773ff7494",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-05-12T01:13:06Z",
    "title_canon_sha256": "9adb2d5d949c8e50903e1375887f58ba81c4fceec9d19735d8c254f9e3874f48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2348",
    "kind": "arxiv",
    "version": 2
  }
}