Pith Number

pith:Y4QTXMLT

pith:2012:Y4QTXMLTC5TO26ZGZHYA4VDR4Y

not attested not anchored not stored refs pending

Flat cycles in the homology of \Gamma \SL(m,R)/SO(m)

Grigori Avramidi, T. Tam Nguyen Phan

arxiv:1205.5016 v3 · 2012-05-22 · 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{Y4QTXMLTC5TO26ZGZHYA4VDR4Y}

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	2026-05-18T00:13:22.427432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7213bb1731766ed7b26c9f00e5471e61a172f0a63f745f7745e41ddf11d4f40

Aliases

arxiv: 1205.5016 · arxiv_version: 1205.5016v3 · doi: 10.48550/arxiv.1205.5016 · pith_short_12: Y4QTXMLTC5TO · pith_short_16: Y4QTXMLTC5TO26ZG · pith_short_8: Y4QTXMLT

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/Y4QTXMLTC5TO26ZGZHYA4VDR4Y \
  | 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: c7213bb1731766ed7b26c9f00e5471e61a172f0a63f745f7745e41ddf11d4f40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ca92a3fc8793c50dbeb3333cdedf92d8e7aee06fc04b7d654c66bc092b2c7b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-05-22T19:30:24Z",
    "title_canon_sha256": "dcde260797b50816cdd876528d67ce9df5c629cb357c401f901998058c69e9a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5016",
    "kind": "arxiv",
    "version": 3
  }
}