Pith Number

pith:JNMYRMHW

pith:2020:JNMYRMHW5OJQY3765TTPWDHSLS

not attested not anchored not stored refs pending

Nilpotent groups with balanced presentations

J. A. Hillman

arxiv:2009.13001 v5 · 2020-09-28 · 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{JNMYRMHW5OJQY3765TTPWDHSLS}

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	2026-05-18T02:45:20.849439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b5988b0f6eb930c6ffeece6fb0cf25cacf3899761c560701e0c108852146766

Aliases

arxiv: 2009.13001 · arxiv_version: 2009.13001v5 · doi: 10.48550/arxiv.2009.13001 · pith_short_12: JNMYRMHW5OJQ · pith_short_16: JNMYRMHW5OJQY376 · pith_short_8: JNMYRMHW

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/JNMYRMHW5OJQY3765TTPWDHSLS \
  | 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: 4b5988b0f6eb930c6ffeece6fb0cf25cacf3899761c560701e0c108852146766

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac76666aa2a3065d5a02925b35bf79e51875d678a0370b85ecb68cc18b53af14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2020-09-28T01:17:38Z",
    "title_canon_sha256": "ed73a0611f062509e69c795e062fea316b0c4147c4a0aa23bb8e5c4895d2f7ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.13001",
    "kind": "arxiv",
    "version": 5
  }
}