Pith Number

pith:GMVZ7V7Y

pith:2017:GMVZ7V7YNKMNPYZ3HHNG3A7BYM

not attested not anchored not stored refs pending

Embeddability of right-angled Artin groups on the complements of linear forests

Takuya Katayama

arxiv:1710.02797 v1 · 2017-10-08 · 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{GMVZ7V7YNKMNPYZ3HHNG3A7BYM}

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	2026-05-18T00:33:28.809546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

332b9fd7f86a98d7e33b39da6d83e1c322e0fadecf2870e1f761273af44ad2d2

Aliases

arxiv: 1710.02797 · arxiv_version: 1710.02797v1 · doi: 10.48550/arxiv.1710.02797 · pith_short_12: GMVZ7V7YNKMN · pith_short_16: GMVZ7V7YNKMNPYZ3 · pith_short_8: GMVZ7V7Y

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/GMVZ7V7YNKMNPYZ3HHNG3A7BYM \
  | 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: 332b9fd7f86a98d7e33b39da6d83e1c322e0fadecf2870e1f761273af44ad2d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dd6c0766a54f48f5c355e16c580c3fb1929f621e644e407ab28637c3bd5bc6e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-10-08T07:31:10Z",
    "title_canon_sha256": "03d2dadca93a9355ab0d952a78fdab6195f74f90c30a05854d171b3023aaa4bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.02797",
    "kind": "arxiv",
    "version": 1
  }
}