Pith Number

pith:BCAVZ5SY

pith:2016:BCAVZ5SYF3OUY6GAMLWAAPQXJH

not attested not anchored not stored refs pending

Groups quasi-isometric to RAAG's

Bruce Kleiner, Jingyin Huang

arxiv:1601.00946 v2 · 2016-01-05 · math.GR · 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{BCAVZ5SYF3OUY6GAMLWAAPQXJH}

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	2026-05-18T00:23:01.958923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08815cf6582edd4c78c062ec003e1749f28c3499631d4ee7897ebace13a05691

Aliases

arxiv: 1601.00946 · arxiv_version: 1601.00946v2 · doi: 10.48550/arxiv.1601.00946 · pith_short_12: BCAVZ5SYF3OU · pith_short_16: BCAVZ5SYF3OUY6GA · pith_short_8: BCAVZ5SY

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/BCAVZ5SYF3OUY6GAMLWAAPQXJH \
  | 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: 08815cf6582edd4c78c062ec003e1749f28c3499631d4ee7897ebace13a05691

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d92aed21c200a4ebb57c565d1849d827ce649a36b981604664cc25af7f82bb75",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-01-05T19:54:37Z",
    "title_canon_sha256": "496a32b639685185641f9dc32a7e585d3a17a54d6488112938841437c8b7f028"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00946",
    "kind": "arxiv",
    "version": 2
  }
}