Pith Number

pith:NSPS5MI6

pith:2015:NSPS5MI6AJQ3EYGL7UGLCZ4PWW

not attested not anchored not stored refs pending

A Note On Nilpotent Representations

Lior Silberman, Maxime Bergeron

arxiv:1501.04357 v2 · 2015-01-18 · math.AT · math.GR · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NSPS5MI6AJQ3EYGL7UGLCZ4PWW}

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	2026-05-18T01:36:31.228629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c9f2eb11e0261b260cbfd0cb1678fb59a4324f96c2422a978a1b78251f7db23

Aliases

arxiv: 1501.04357 · arxiv_version: 1501.04357v2 · doi: 10.48550/arxiv.1501.04357 · pith_short_12: NSPS5MI6AJQ3 · pith_short_16: NSPS5MI6AJQ3EYGL · pith_short_8: NSPS5MI6

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/NSPS5MI6AJQ3EYGL7UGLCZ4PWW \
  | 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: 6c9f2eb11e0261b260cbfd0cb1678fb59a4324f96c2422a978a1b78251f7db23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f229fdb9f478b4cf28cf8751dca50cfd7bd2dbdaabc4100d3d32e20ef33b982",
    "cross_cats_sorted": [
      "math.GR",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-01-18T21:37:32Z",
    "title_canon_sha256": "20cdf031d4dbd77a535e60e6ae99705024bad156e35dd8ee0234e7c1c42ae62e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04357",
    "kind": "arxiv",
    "version": 2
  }
}