Pith Number

pith:CKECJYRT

pith:2012:CKECJYRTZZBJZ4SQI6JMK6ASVZ

not attested not anchored not stored refs pending

Homological and Bloch invariants for Q-rank one spaces and flag structures

Inkang Kim, Sungwoon Kim, Thilo Kuessner

arxiv:1210.7058 v1 · 2012-10-26 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CKECJYRTZZBJZ4SQI6JMK6ASVZ}

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	2026-05-18T03:42:21.818553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

128824e233ce429cf2504792c57812ae5f4bb6749b4372456b9d216b73b0b0c4

Aliases

arxiv: 1210.7058 · arxiv_version: 1210.7058v1 · doi: 10.48550/arxiv.1210.7058 · pith_short_12: CKECJYRTZZBJ · pith_short_16: CKECJYRTZZBJZ4SQ · pith_short_8: CKECJYRT

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/CKECJYRTZZBJZ4SQI6JMK6ASVZ \
  | 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: 128824e233ce429cf2504792c57812ae5f4bb6749b4372456b9d216b73b0b0c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae62e7d1daf73f61b8bb2d3e1b81bac661aa0ad102b83a9906ceaeab5fcaacf5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-10-26T06:08:21Z",
    "title_canon_sha256": "535927a27173b764dab574103128b4676dae7516a2d47adb554955b783ebaf5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7058",
    "kind": "arxiv",
    "version": 1
  }
}