Pith Number

pith:AOHFDGPI

pith:1998:AOHFDGPIGACJVNOLQJH6L6GR3I

not attested not anchored not stored refs pending

Non-positively curved aspects of Artin groups of finite type

Mladen Bestvina

arxiv:math/9812011 v2 · 1998-12-01 · 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{AOHFDGPIGACJVNOLQJH6L6GR3I}

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	2026-05-18T02:37:59.282675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

038e5199e830049ab5cb824fe5f8d1da018f6e0cefa90744a9632c13636b700d

Aliases

arxiv: math/9812011 · arxiv_version: math/9812011v2 · doi: 10.48550/arxiv.math/9812011 · pith_short_12: AOHFDGPIGACJ · pith_short_16: AOHFDGPIGACJVNOL · pith_short_8: AOHFDGPI

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/AOHFDGPIGACJVNOLQJH6L6GR3I \
  | 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: 038e5199e830049ab5cb824fe5f8d1da018f6e0cefa90744a9632c13636b700d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f949453c9236ea91ea3f730d39ff7f5ee6cc0b974c42384270068dbcb328e47f",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1998-12-01T20:49:27Z",
    "title_canon_sha256": "c2b1f03d42e07a1a32adfc56aec601a0fecb8c0b2b75560c4293d04d1daf7cb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9812011",
    "kind": "arxiv",
    "version": 2
  }
}