Pith Number

pith:HDU52L44

pith:2012:HDU52L44HUCGD6SOWW55NKOOK7

not attested not anchored not stored refs pending

Bounded characteristic classes and flat bundles

Christophe Pittet, Guido Mislin, Indira Chatterji, Yves Cornulier

arxiv:1202.4069 v1 · 2012-02-18 · math.AT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HDU52L44HUCGD6SOWW55NKOOK7}

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	2026-05-18T03:10:24.553885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38e9dd2f9c3d0461fa4eb5bbd6a9ce57e87719a0fbfcf96012d90d930dc83e22

Aliases

arxiv: 1202.4069 · arxiv_version: 1202.4069v1 · doi: 10.48550/arxiv.1202.4069 · pith_short_12: HDU52L44HUCG · pith_short_16: HDU52L44HUCGD6SO · pith_short_8: HDU52L44

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/HDU52L44HUCGD6SOWW55NKOOK7 \
  | 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: 38e9dd2f9c3d0461fa4eb5bbd6a9ce57e87719a0fbfcf96012d90d930dc83e22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2470cf0cd3335edec2c73c6fc56636cc3ab52b3e2c094403018b44ae00b9674c",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-02-18T10:48:41Z",
    "title_canon_sha256": "7c96743839d1baa4d3f4ffc3b3bc3b1dd7b97ac8e2257cd680126bd9965f0fe9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4069",
    "kind": "arxiv",
    "version": 1
  }
}