Pith Number

pith:WTXO6PYQ

pith:2001:WTXO6PYQLPSBWJKYYJDAQGKD4Y

not attested not anchored not stored refs pending

On the linearity problem for mapping class groups

Hessam Hamidi-Tehrani, Tara E. Brendle

arxiv:math/0103148 v2 · 2001-03-24 · 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{WTXO6PYQLPSBWJKYYJDAQGKD4Y}

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	2026-05-18T02:41:33.336503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4eeef3f105be41b2558c246081943e6239bff23db72429e04b2f002db47f35e

Aliases

arxiv: math/0103148 · arxiv_version: math/0103148v2 · doi: 10.48550/arxiv.math/0103148 · pith_short_12: WTXO6PYQLPSB · pith_short_16: WTXO6PYQLPSBWJKY · pith_short_8: WTXO6PYQ

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/WTXO6PYQLPSBWJKYYJDAQGKD4Y \
  | 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: b4eeef3f105be41b2558c246081943e6239bff23db72429e04b2f002db47f35e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "002ffcaa4e35ccd98b4822a946706083180e93520dd8760aedfbdcbb7bbc8908",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2001-03-24T03:25:46Z",
    "title_canon_sha256": "0ac0588b0c204216defc351b1130a2d7a452fc4b9522d10a89a58d43b60db469"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0103148",
    "kind": "arxiv",
    "version": 2
  }
}