Pith Number

pith:VBJHBA6E

pith:2016:VBJHBA6EH5LKWPTAKIZL4PUENK

not attested not anchored not stored refs pending

Free groups and quasidiagonality

Caleb Eckhardt

arxiv:1607.02170 v1 · 2016-07-07 · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VBJHBA6EH5LKWPTAKIZL4PUENK}

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	2026-05-18T01:11:21.105020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8527083c43f56ab3e605232be3e846a888bafbc56125324d02795c4d3aeb87c

Aliases

arxiv: 1607.02170 · arxiv_version: 1607.02170v1 · doi: 10.48550/arxiv.1607.02170 · pith_short_12: VBJHBA6EH5LK · pith_short_16: VBJHBA6EH5LKWPTA · pith_short_8: VBJHBA6E

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/VBJHBA6EH5LKWPTAKIZL4PUENK \
  | 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: a8527083c43f56ab3e605232be3e846a888bafbc56125324d02795c4d3aeb87c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afc6a5857ae691315f263622b0112227d8d47343545d2317844ea843c598cc6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-07-07T20:59:46Z",
    "title_canon_sha256": "c12fcfd4afe8f379968124d2488c46d5a091456f0c94889e20dd9bd074cab3ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.02170",
    "kind": "arxiv",
    "version": 1
  }
}