Pith Number

pith:CS2MMXUS

pith:2012:CS2MMXUS64JCGUHETREXKOV6UT

not attested not anchored not stored refs pending

The third homology of SL_2 of fields with discrete valuation

Kevin Hutchinson

arxiv:1204.5709 v2 · 2012-04-25 · 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{CS2MMXUS64JCGUHETREXKOV6UT}

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	2026-05-18T01:14:18.620356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14b4c65e92f7122350e49c49753abea4c3ed850a8689d4737983cd3ea74aaa60

Aliases

arxiv: 1204.5709 · arxiv_version: 1204.5709v2 · doi: 10.48550/arxiv.1204.5709 · pith_short_12: CS2MMXUS64JC · pith_short_16: CS2MMXUS64JCGUHE · pith_short_8: CS2MMXUS

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/CS2MMXUS64JCGUHETREXKOV6UT \
  | 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: 14b4c65e92f7122350e49c49753abea4c3ed850a8689d4737983cd3ea74aaa60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48341ce1a656f11724fe25886d66e3712e7c31f84ee67ad43f10496e6a6f1290",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2012-04-25T17:04:05Z",
    "title_canon_sha256": "c6d7d5dba97015b04767806f2f6957ff0eb178b86d04f96ed2174a27b5e89924"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5709",
    "kind": "arxiv",
    "version": 2
  }
}