Pith Number

pith:D5UWUPXW

pith:2015:D5UWUPXWMCXQJCCC6BBPO7AWXC

not attested not anchored not stored refs pending

On the equivariant K-homology of PSL\_2 of the imaginary quadratic integers

Alexander Rahm (FSTC)

arxiv:1506.03912 v2 · 2015-06-12 · 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{D5UWUPXWMCXQJCCC6BBPO7AWXC}

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	2026-05-18T01:22:14.440667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f696a3ef660af048842f042f77c16b8a7c50706e04919500a78555c219742f2

Aliases

arxiv: 1506.03912 · arxiv_version: 1506.03912v2 · doi: 10.48550/arxiv.1506.03912 · pith_short_12: D5UWUPXWMCXQ · pith_short_16: D5UWUPXWMCXQJCCC · pith_short_8: D5UWUPXW

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/D5UWUPXWMCXQJCCC6BBPO7AWXC \
  | 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: 1f696a3ef660af048842f042f77c16b8a7c50706e04919500a78555c219742f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee9b12b69918a758f938e1b24c0a0cc648ae9b1c2c2db4a00560745d93c82486",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2015-06-12T06:40:10Z",
    "title_canon_sha256": "068948d824afed77eadbbceb55ac9c634ba129847384169573209f810d3eaf87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03912",
    "kind": "arxiv",
    "version": 2
  }
}