Pith Number

pith:MU2W5553

pith:2010:MU2W55533WPI4IA5E5ZHQ3AJVV

not attested not anchored not stored refs pending

A conjugation-free geometric presentation of fundamental groups of arrangements II: Expansion and some properties

David Garber, Meital Eliyahu, Mina Teicher

arxiv:1009.1349 v2 · 2010-09-07 · math.GT · math.AG · 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{MU2W55533WPI4IA5E5ZHQ3AJVV}

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	2026-05-18T03:54:06.283883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65356ef7bbdd9e8e201d2772786c09ad5c9a5262ace72b4d1663b9b7b9b4c24a

Aliases

arxiv: 1009.1349 · arxiv_version: 1009.1349v2 · doi: 10.48550/arxiv.1009.1349 · pith_short_12: MU2W55533WPI · pith_short_16: MU2W55533WPI4IA5 · pith_short_8: MU2W5553

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/MU2W55533WPI4IA5E5ZHQ3AJVV \
  | 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: 65356ef7bbdd9e8e201d2772786c09ad5c9a5262ace72b4d1663b9b7b9b4c24a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cd36e276ef1f380f541e1e47891f6adae93603d2d6259380a412e2999e70468",
    "cross_cats_sorted": [
      "math.AG",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-09-07T17:34:52Z",
    "title_canon_sha256": "b88cc3d476562195cdb61f38f38200258b961763e0ad93ede49e0856ffa895c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1349",
    "kind": "arxiv",
    "version": 2
  }
}