Pith Number

pith:7LBPDXZF

pith:2016:7LBPDXZF2XH6UQGR2NKATA5G45

not attested not anchored not stored refs pending

Automorphisms acting on the left-orderings of a bi-orderable group

Adam Clay, Sina Zabanfahm

arxiv:1610.07223 v1 · 2016-10-23 · 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{7LBPDXZF2XH6UQGR2NKATA5G45}

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	2026-05-18T01:01:34.964994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fac2f1df25d5cfea40d1d3540983a6e74c652cbc22c80b2b1d68063f58717f65

Aliases

arxiv: 1610.07223 · arxiv_version: 1610.07223v1 · doi: 10.48550/arxiv.1610.07223 · pith_short_12: 7LBPDXZF2XH6 · pith_short_16: 7LBPDXZF2XH6UQGR · pith_short_8: 7LBPDXZF

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/7LBPDXZF2XH6UQGR2NKATA5G45 \
  | 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: fac2f1df25d5cfea40d1d3540983a6e74c652cbc22c80b2b1d68063f58717f65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97b256c56736bb9832d72bc99d16d0b1e6abfa4feaf85ff3fd7c963d78d923c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-10-23T19:37:09Z",
    "title_canon_sha256": "c4145f2b6e3963e37e3960ce76bf6674c1e7543f6f48e1e4ff4c27ea70cf41ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07223",
    "kind": "arxiv",
    "version": 1
  }
}