Pith Number

pith:VAHZMILB

pith:2007:VAHZMILBTRZE6X2BYBRDE7FLJN

not attested not anchored not stored refs pending

Magnus subgroups of one-relator surface groups

James Howie, Muhammad Sarwar Saeed

arxiv:0709.4393 v1 · 2007-09-27 · 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{VAHZMILBTRZE6X2BYBRDE7FLJN}

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	2026-05-18T04:33:36.777702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a80f9621619c724f5f41c062327cab4b61ac5fc18783f3ef6222cea819c0b9af

Aliases

arxiv: 0709.4393 · arxiv_version: 0709.4393v1 · doi: 10.48550/arxiv.0709.4393 · pith_short_12: VAHZMILBTRZE · pith_short_16: VAHZMILBTRZE6X2B · pith_short_8: VAHZMILB

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/VAHZMILBTRZE6X2BYBRDE7FLJN \
  | 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: a80f9621619c724f5f41c062327cab4b61ac5fc18783f3ef6222cea819c0b9af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7344dde07b7624168e44a0076e66557a0b0d594f7b52aeccd21363dd0ef70643",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2007-09-27T13:29:09Z",
    "title_canon_sha256": "3d6b46ed6eea015975f23b4d10fdd28cd7a936e580ff13bb59804ad62b44155b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.4393",
    "kind": "arxiv",
    "version": 1
  }
}