Pith Number

pith:SG4EO7FB

pith:2018:SG4EO7FBVVK6XEJA2PHKYYSJNK

not attested not anchored not stored refs pending

A Criterion For Kolchin Subgroups Of Out(Fr)

Edgar A. Bering IV

arxiv:1810.07633 v1 · 2018-10-17 · 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{SG4EO7FBVVK6XEJA2PHKYYSJNK}

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	2026-05-18T00:02:55.566353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91b8477ca1ad55eb9120d3ceac62496aadd99ccd8598581e0f49946677435ee7

Aliases

arxiv: 1810.07633 · arxiv_version: 1810.07633v1 · doi: 10.48550/arxiv.1810.07633 · pith_short_12: SG4EO7FBVVK6 · pith_short_16: SG4EO7FBVVK6XEJA · pith_short_8: SG4EO7FB

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/SG4EO7FBVVK6XEJA2PHKYYSJNK \
  | 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: 91b8477ca1ad55eb9120d3ceac62496aadd99ccd8598581e0f49946677435ee7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4bc56d08886be03556af4e1c5af46526620bb6088f67db2c24e1911ea4c0b62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-10-17T15:49:29Z",
    "title_canon_sha256": "f9e333992ce3465069cdeeda7549baff801816d6e5cb29c5dc4d1518d3199360"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.07633",
    "kind": "arxiv",
    "version": 1
  }
}