Pith Number

pith:C5WHWOOX

pith:2011:C5WHWOOXPFFAO2YMG6IBGQINZY

not attested not anchored not stored refs pending

Dirac-operators and symmetries of quasitoric manifolds

Michael Wiemeler

arxiv:1108.1056 v2 · 2011-08-04 · 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{C5WHWOOXPFFAO2YMG6IBGQINZY}

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	2026-05-18T02:41:50.453952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

176c7b39d7794a076b0c379013410dce3080b62c59e05af94bdcd7339b3c4b5a

Aliases

arxiv: 1108.1056 · arxiv_version: 1108.1056v2 · doi: 10.48550/arxiv.1108.1056 · pith_short_12: C5WHWOOXPFFA · pith_short_16: C5WHWOOXPFFAO2YM · pith_short_8: C5WHWOOX

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/C5WHWOOXPFFAO2YMG6IBGQINZY \
  | 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: 176c7b39d7794a076b0c379013410dce3080b62c59e05af94bdcd7339b3c4b5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3edadadd4a260191cd1e582e0a05cf7b903425eb068d5b3777726414834fc69",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-08-04T12:12:24Z",
    "title_canon_sha256": "1d0fbddf59cb34b3219afa8dd5b7463f73739d0b589a6598024493791812a7d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1056",
    "kind": "arxiv",
    "version": 2
  }
}