Pith Number

pith:SYUNGZGD

pith:2016:SYUNGZGDY64DH5ZPDBXCJSSQVU

not attested not anchored not stored refs pending

On sequential analytic groups

Alexander Shibakov

arxiv:1604.08872 v1 · 2016-04-29 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SYUNGZGDY64DH5ZPDBXCJSSQVU}

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	2026-05-18T01:16:01.537212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9628d364c3c7b833f72f186e24ca50ad1c3afad28cb307d2c0fef494a3e30c2a

Aliases

arxiv: 1604.08872 · arxiv_version: 1604.08872v1 · doi: 10.48550/arxiv.1604.08872 · pith_short_12: SYUNGZGDY64D · pith_short_16: SYUNGZGDY64DH5ZP · pith_short_8: SYUNGZGD

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/SYUNGZGDY64DH5ZPDBXCJSSQVU \
  | 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: 9628d364c3c7b833f72f186e24ca50ad1c3afad28cb307d2c0fef494a3e30c2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5438531448105d2f47db6fd4a323a1a977663e2ed76622e3bf6b2c0ace9885bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2016-04-29T15:22:09Z",
    "title_canon_sha256": "001f92276ac725eb3208aa17c253ce6d186be780e1767ba7e07f4dab80e31c0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.08872",
    "kind": "arxiv",
    "version": 1
  }
}