Pith Number

pith:WL2TNMGZ

pith:2024:WL2TNMGZJNJRAQ7XXCLBGMBYJB

not attested not anchored not stored refs pending

The positive fundamental group of ${\rm Sp}(2n)$

Jian Wang, Qinglong Zhou

arxiv:2405.07398 v4 · 2024-05-12 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WL2TNMGZJNJRAQ7XXCLBGMBYJB}

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	2026-07-05T08:38:59.953103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2f536b0d94b531043f7b8961330384850509e1aa39a56aa8a2cb0c55745897d

Aliases

arxiv: 2405.07398 · arxiv_version: 2405.07398v4 · doi: 10.48550/arxiv.2405.07398 · pith_short_12: WL2TNMGZJNJR · pith_short_16: WL2TNMGZJNJRAQ7X · pith_short_8: WL2TNMGZ

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/WL2TNMGZJNJRAQ7XXCLBGMBYJB \
  | 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: b2f536b0d94b531043f7b8961330384850509e1aa39a56aa8a2cb0c55745897d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5306168cd2a649a4257e47c8c4c0e02edfdf40d84e75f38259024ba77a76a362",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2024-05-12T23:33:02Z",
    "title_canon_sha256": "143ba279c6d2c991723451a9011752acca9349b9eb44d345ed35cc94f473d8f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.07398",
    "kind": "arxiv",
    "version": 4
  }
}