Pith Number

pith:MUIF2BFO

pith:1996:MUIF2BFOR7HCRSA3SGK2VYOMRY

not attested not anchored not stored refs pending

An Algebraic Annulus Theorem

Gadde A. Swarup, Peter Scott

arxiv:math/9608206 v1 · 1996-08-14 · math.GR · 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{MUIF2BFOR7HCRSA3SGK2VYOMRY}

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	2026-05-18T01:05:47.119088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65105d04ae8fce28c81b9195aae1cc8e297a73c1a590be03d5a8fe6c161f9cd9

Aliases

arxiv: math/9608206 · arxiv_version: math/9608206v1 · doi: 10.48550/arxiv.math/9608206 · pith_short_12: MUIF2BFOR7HC · pith_short_16: MUIF2BFOR7HCRSA3 · pith_short_8: MUIF2BFO

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/MUIF2BFOR7HCRSA3SGK2VYOMRY \
  | 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: 65105d04ae8fce28c81b9195aae1cc8e297a73c1a590be03d5a8fe6c161f9cd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "020f4cc2069760942695252ffae711c5b7d37cf423b283b2a976e08b6df60244",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "1996-08-14T00:00:00Z",
    "title_canon_sha256": "d01618311147402e8992438e1e5a98fad68329bec5cec15c3e6d41a863054b89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9608206",
    "kind": "arxiv",
    "version": 1
  }
}