Pith Number

pith:33EITNTR

pith:2008:33EITNTR3HVWEYDXPZAMH5EGFF

not attested not anchored not stored refs pending

Periodic twisted cohomology and T-duality

Markus Spitzweck (Regensburg), Thomas Schick (Georg-August-Universit\"at G\"ottingen), Ulrich Bunke (Regensburg)

arxiv:0805.1459 v2 · 2008-05-10 · math.AT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{33EITNTR3HVWEYDXPZAMH5EGFF}

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	2026-05-18T03:43:28.886344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dec889b671d9eb6260777e40c3f486296d5f0a4c280d5f4e5775fc8fec8bd50b

Aliases

arxiv: 0805.1459 · arxiv_version: 0805.1459v2 · doi: 10.48550/arxiv.0805.1459 · pith_short_12: 33EITNTR3HVW · pith_short_16: 33EITNTR3HVWEYDX · pith_short_8: 33EITNTR

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/33EITNTR3HVWEYDXPZAMH5EGFF \
  | 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: dec889b671d9eb6260777e40c3f486296d5f0a4c280d5f4e5775fc8fec8bd50b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38b03d71552710181c0898a5c9a7230674475230ba049f727ea1dd7cfe306c6d",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2008-05-10T09:45:37Z",
    "title_canon_sha256": "4f17e5e7ca2badc2535432bd491139de00e5436e681cca44bbd267e6d77e5314"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.1459",
    "kind": "arxiv",
    "version": 2
  }
}