Pith Number

pith:QBTMY25T

pith:2013:QBTMY25T4NIEXCSBQEHOV6Y7HL

not attested not anchored not stored refs pending

Questions and Remarks on Discrete and Dense Subgroups of Diff(I)

Azer Akhmedov

arxiv:1311.6782 v2 · 2013-11-26 · math.GR · math.DS · 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{QBTMY25T4NIEXCSBQEHOV6Y7HL}

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	2026-05-18T03:06:04.560776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8066cc6bb3e3504b8a41810eeafb1f3af1bd407a3e09b775268368a12decd569

Aliases

arxiv: 1311.6782 · arxiv_version: 1311.6782v2 · doi: 10.48550/arxiv.1311.6782 · pith_short_12: QBTMY25T4NIE · pith_short_16: QBTMY25T4NIEXCSB · pith_short_8: QBTMY25T

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/QBTMY25T4NIEXCSBQEHOV6Y7HL \
  | 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: 8066cc6bb3e3504b8a41810eeafb1f3af1bd407a3e09b775268368a12decd569

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d558d4d8adb4c375558894b57fb674c6de0e5a09685607a3655988100b2919e4",
    "cross_cats_sorted": [
      "math.DS",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-11-26T19:30:15Z",
    "title_canon_sha256": "97d8290260afb25ccc07b93d5ca33237b8281afa03101b5a2fbfb9d251a1065f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6782",
    "kind": "arxiv",
    "version": 2
  }
}