Pith Number

pith:N5LOHF5Z

pith:2016:N5LOHF5ZTXU3HLARJBYOZWYEQB

not attested not anchored not stored refs pending

Commensurability of groups quasi-isometric to RAAG's

Jingyin Huang

arxiv:1603.08586 v2 · 2016-03-28 · 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{N5LOHF5ZTXU3HLARJBYOZWYEQB}

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	2026-05-18T01:12:54.822639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f56e397b99de9b3ac114870ecdb04804c3ac2e41cb5cc6a0dd38418b08d8c8b

Aliases

arxiv: 1603.08586 · arxiv_version: 1603.08586v2 · doi: 10.48550/arxiv.1603.08586 · pith_short_12: N5LOHF5ZTXU3 · pith_short_16: N5LOHF5ZTXU3HLAR · pith_short_8: N5LOHF5Z

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/N5LOHF5ZTXU3HLARJBYOZWYEQB \
  | 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: 6f56e397b99de9b3ac114870ecdb04804c3ac2e41cb5cc6a0dd38418b08d8c8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ad5cc08ae93cbf7e4d4b145ae4ac57ec28b9f630b2136c0c533df3b3985d24d",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-03-28T23:04:39Z",
    "title_canon_sha256": "df2a2c4aa41cc7104e7d1df816d94a0664ffeab09340c25399168e775dbd6ce6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08586",
    "kind": "arxiv",
    "version": 2
  }
}