Pith Number

pith:X3DA75CX

pith:2010:X3DA75CXOXQB7ZQN62UQU2EBVA

not attested not anchored not stored refs pending

Generating the Mobius group with involution conjugacy classes

Ara Basmajian, Karan Puri

arxiv:1012.5845 v1 · 2010-12-28 · 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{X3DA75CXOXQB7ZQN62UQU2EBVA}

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	2026-05-18T04:32:21.364197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bec60ff45775e01fe60df6a90a6881a8386b62cc868f8f958dda7150bf5fb703

Aliases

arxiv: 1012.5845 · arxiv_version: 1012.5845v1 · doi: 10.48550/arxiv.1012.5845 · pith_short_12: X3DA75CXOXQB · pith_short_16: X3DA75CXOXQB7ZQN · pith_short_8: X3DA75CX

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/X3DA75CXOXQB7ZQN62UQU2EBVA \
  | 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: bec60ff45775e01fe60df6a90a6881a8386b62cc868f8f958dda7150bf5fb703

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0871667d1f6334803303fe8ff4f3207ccb3ec830a04cceac4a769ab8b0d20480",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-12-28T21:44:53Z",
    "title_canon_sha256": "922067ba8f85927f4d11993e92ab63195a950ab34f2890b0151d7ebee020a64f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5845",
    "kind": "arxiv",
    "version": 1
  }
}