Pith Number

pith:UEPM3FTC

pith:2018:UEPM3FTCYZ7NXT5E4IRDEZ7EV7

not attested not anchored not stored refs pending

Embeddability and quasi-isometric classification of partially commutative groups

Montserrat Casals-Ruiz

arxiv:1803.00416 v1 · 2018-03-01 · 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{UEPM3FTCYZ7NXT5E4IRDEZ7EV7}

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	2026-05-18T00:22:12.226680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a11ecd9662c67edbcfa4e2223267e4affbb9af52d626ed6f1d41fdcb709b184f

Aliases

arxiv: 1803.00416 · arxiv_version: 1803.00416v1 · doi: 10.48550/arxiv.1803.00416 · pith_short_12: UEPM3FTCYZ7N · pith_short_16: UEPM3FTCYZ7NXT5E · pith_short_8: UEPM3FTC

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/UEPM3FTCYZ7NXT5E4IRDEZ7EV7 \
  | 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: a11ecd9662c67edbcfa4e2223267e4affbb9af52d626ed6f1d41fdcb709b184f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96d34adda421440033637765131a41f683112d0281fed88db79237c2c8f68a27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-03-01T15:00:01Z",
    "title_canon_sha256": "6fa790a05d0f2dacf15c9d5e5d402c1e050e187cbc0661fdeacc99f966b732cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.00416",
    "kind": "arxiv",
    "version": 1
  }
}