Pith Number

pith:3DNT2LK6

pith:2013:3DNT2LK6PN4562P5XN3XRYFDYO

not attested not anchored not stored refs pending

Some remarks on the symplectic group $Sp(2g, \mathbb{Z})$

Ganesh Ji Omar, Kumar Balasubramanian

arxiv:1308.4934 v1 · 2013-08-22 · 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{3DNT2LK6PN4562P5XN3XRYFDYO}

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	2026-05-18T03:15:19.270339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8db3d2d5e7b79df69fdbb7778e0a3c39acb14d586f30ceaebfdc5cb7ffa0a51

Aliases

arxiv: 1308.4934 · arxiv_version: 1308.4934v1 · doi: 10.48550/arxiv.1308.4934 · pith_short_12: 3DNT2LK6PN45 · pith_short_16: 3DNT2LK6PN4562P5 · pith_short_8: 3DNT2LK6

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/3DNT2LK6PN4562P5XN3XRYFDYO \
  | 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: d8db3d2d5e7b79df69fdbb7778e0a3c39acb14d586f30ceaebfdc5cb7ffa0a51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c878150f99a102975ba6047669c70d71ae38b6f5801c44f1bf8a1fd74507873",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-08-22T17:52:12Z",
    "title_canon_sha256": "767ba957ea4e4b30964c50f87a77f536456532d17c7c8f517428867d9a9e17dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4934",
    "kind": "arxiv",
    "version": 1
  }
}