Pith Number

pith:C36GAR6T

pith:2012:C36GAR6TC4SL3NGADNI6UWMJQV

not attested not anchored not stored refs pending

Coarse structures on groups

Andrew Nicas, David Rosenthal

arxiv:1201.4687 v1 · 2012-01-23 · math.GT · 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{C36GAR6TC4SL3NGADNI6UWMJQV}

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	2026-05-18T04:04:05.422667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16fc6047d31724bdb4c01b51ea59898546543dc7fb431646c208fed949ed38bb

Aliases

arxiv: 1201.4687 · arxiv_version: 1201.4687v1 · doi: 10.48550/arxiv.1201.4687 · pith_short_12: C36GAR6TC4SL · pith_short_16: C36GAR6TC4SL3NGA · pith_short_8: C36GAR6T

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/C36GAR6TC4SL3NGADNI6UWMJQV \
  | 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: 16fc6047d31724bdb4c01b51ea59898546543dc7fb431646c208fed949ed38bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "047b6fb18956d0e5e54516dfccaf4738ee001ad3c25a69bacd16581c51b1091a",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-01-23T11:20:32Z",
    "title_canon_sha256": "501c7fcb5a9672485e3f15048cb66d91a9efdb135b7777f9b6f24cbc770cfde3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4687",
    "kind": "arxiv",
    "version": 1
  }
}