Pith Number

pith:S2MV5FWP

pith:2011:S2MV5FWPTIX5MC4MCVP6LIAA7J

not attested not anchored not stored refs pending

Isometric Group Actions and the Cohomology of Flat Fiber Bundles

Markus Banagl

arxiv:1105.0811 v1 · 2011-05-04 · 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{S2MV5FWPTIX5MC4MCVP6LIAA7J}

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	2026-05-18T04:23:01.793107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96995e96cf9a2fd60b8c155fe5a000fa655a1a114d33fa3d9a7d1b508bcc9e65

Aliases

arxiv: 1105.0811 · arxiv_version: 1105.0811v1 · doi: 10.48550/arxiv.1105.0811 · pith_short_12: S2MV5FWPTIX5 · pith_short_16: S2MV5FWPTIX5MC4M · pith_short_8: S2MV5FWP

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/S2MV5FWPTIX5MC4MCVP6LIAA7J \
  | 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: 96995e96cf9a2fd60b8c155fe5a000fa655a1a114d33fa3d9a7d1b508bcc9e65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6df2401c83f34adb08362aaa71545cb87376c482bb0a0ad7982c34c9d910c60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-05-04T12:54:24Z",
    "title_canon_sha256": "91be1fea56ca2c8a29ca7d6fd3dcadfc265b78362f3108d1985becef6cc64e51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0811",
    "kind": "arxiv",
    "version": 1
  }
}