Pith Number

pith:QKCSINOB

pith:2021:QKCSINOBF6VKYW3ZQ3VIMLHCJS

not attested not anchored not stored refs pending

Twisted Conjugacy in Big Mapping Class Groups

Sushil Bhunia, Swathi Krishna

arxiv:2112.06612 v2 · 2021-12-13 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QKCSINOBF6VKYW3ZQ3VIMLHCJS}

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	2026-07-05T05:23:43.444485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82852435c12faaac5b7986ea862ce24c90d709d1ae37da29de37a32de184e991

Aliases

arxiv: 2112.06612 · arxiv_version: 2112.06612v2 · doi: 10.48550/arxiv.2112.06612 · pith_short_12: QKCSINOBF6VK · pith_short_16: QKCSINOBF6VKYW3Z · pith_short_8: QKCSINOB

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/QKCSINOBF6VKYW3ZQ3VIMLHCJS \
  | 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: 82852435c12faaac5b7986ea862ce24c90d709d1ae37da29de37a32de184e991

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6ba6ef12ff0621c2429f928554031d918b8f6449d712ffa1aa44b57530f9ed1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2021-12-13T12:48:42Z",
    "title_canon_sha256": "441a7744fb6d56e98d1fbfc9df4272e998fadd68c8e4d969b2941f1f2409f8a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.06612",
    "kind": "arxiv",
    "version": 2
  }
}