Pith Number

pith:P4WOQD5Y

pith:2016:P4WOQD5Y73AX5VWWGXUBE7C436

not attested not anchored not stored refs pending

Group G_{n}^{3} and imaginary generators

S.Kim, V.O.Manturov

arxiv:1612.03486 v1 · 2016-12-11 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P4WOQD5Y73AX5VWWGXUBE7C436}

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	2026-05-18T00:55:19.111866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f2ce80fb8fec17ed6d635e8127c5cdfa525a3e5bcb2c0edce83548fe34479a5

Aliases

arxiv: 1612.03486 · arxiv_version: 1612.03486v1 · doi: 10.48550/arxiv.1612.03486 · pith_short_12: P4WOQD5Y73AX · pith_short_16: P4WOQD5Y73AX5VWW · pith_short_8: P4WOQD5Y

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/P4WOQD5Y73AX5VWWGXUBE7C436 \
  | 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: 7f2ce80fb8fec17ed6d635e8127c5cdfa525a3e5bcb2c0edce83548fe34479a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4603bc550fca98b3400ffddb5f7313d8a3bb4a42861d8582d378bc6b940b9a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-12-11T21:57:22Z",
    "title_canon_sha256": "cf298468b9c704fc450c7b8bc20aa569ba58f4e116a6beef520852ff421e0cf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03486",
    "kind": "arxiv",
    "version": 1
  }
}