Pith Number

pith:S226YS5X

pith:2007:S226YS5X324LOGPXMMDAPOBN3J

not attested not anchored not stored refs pending

Representations of Surface Groups and Right-Angled Artin Groups in Higher Rank

Stephen Wang

arxiv:math/0701493 v2 · 2007-01-17 · math.GR · math.DG · 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{S226YS5X324LOGPXMMDAPOBN3J}

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	2026-05-18T02:41:26.619480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96b5ec4bb7deb8b719f7630607b82dda5761b4cde5e7012fc509cb4c18e394ef

Aliases

arxiv: math/0701493 · arxiv_version: math/0701493v2 · doi: 10.48550/arxiv.math/0701493 · pith_short_12: S226YS5X324L · pith_short_16: S226YS5X324LOGPX · pith_short_8: S226YS5X

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/S226YS5X324LOGPXMMDAPOBN3J \
  | 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: 96b5ec4bb7deb8b719f7630607b82dda5761b4cde5e7012fc509cb4c18e394ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eef3a5c0807a3daed1a053e74695a0c55fe2dbab810ecaca43a1412aef9a27dd",
    "cross_cats_sorted": [
      "math.DG",
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2007-01-17T21:17:07Z",
    "title_canon_sha256": "7d72924695fe3ee4496020c3154451d1f0a28bf6a7b98c62e0a5ab13a2c5122f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701493",
    "kind": "arxiv",
    "version": 2
  }
}