Pith Number

pith:VGDMGFMC

pith:2019:VGDMGFMCFJIPN6ERZZWCMQMKEZ

not attested not anchored not stored refs pending

Polynomially weighted $\ell^p$-completions and group homology

Alexander Engel, Clara Loeh

arxiv:1903.11486 v2 · 2019-03-27 · 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{VGDMGFMCFJIPN6ERZZWCMQMKEZ}

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	2026-05-17T23:39:39.661515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a986c315822a50f6f891ce6c26418a26602115ea3ae01ba601fd84314004513b

Aliases

arxiv: 1903.11486 · arxiv_version: 1903.11486v2 · doi: 10.48550/arxiv.1903.11486 · pith_short_12: VGDMGFMCFJIP · pith_short_16: VGDMGFMCFJIPN6ER · pith_short_8: VGDMGFMC

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/VGDMGFMCFJIPN6ERZZWCMQMKEZ \
  | 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: a986c315822a50f6f891ce6c26418a26602115ea3ae01ba601fd84314004513b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6a1014c531bdc995732208f2060a079e44da49c890967baa68456c5e4decc73",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-03-27T15:24:49Z",
    "title_canon_sha256": "a1e1459de1fb424b8513a6e6c53a47ec03f7561cdc190ce6bd64be013189c526"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.11486",
    "kind": "arxiv",
    "version": 2
  }
}