Pith Number

pith:DTJQJKBL

pith:2011:DTJQJKBLKTKOD2SISDS3V5J4HK

not attested not anchored not stored refs pending

Semi-characteristic polynomials, {\phi}-modules and skew polynomials

J\'er\'emy Le Borgne (IRMAR)

arxiv:1105.4083 v1 · 2011-05-20 · 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{DTJQJKBLKTKOD2SISDS3V5J4HK}

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	2026-05-18T04:21:43.006053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cd304a82b54d4e1ea4890e5baf53c3a9a34cd892234df668db0801b2a4ac19c

Aliases

arxiv: 1105.4083 · arxiv_version: 1105.4083v1 · doi: 10.48550/arxiv.1105.4083 · pith_short_12: DTJQJKBLKTKO · pith_short_16: DTJQJKBLKTKOD2SI · pith_short_8: DTJQJKBL

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/DTJQJKBLKTKOD2SISDS3V5J4HK \
  | 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: 1cd304a82b54d4e1ea4890e5baf53c3a9a34cd892234df668db0801b2a4ac19c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3c7e5a165a7184e65aed69cf04a21baa917d888a4fff7e4920bcd259fc6c916",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-05-20T13:24:55Z",
    "title_canon_sha256": "2db6a8f5baa41d06e7a061ec7ed260442c3585675273cc1d238cbf4c3719404e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4083",
    "kind": "arxiv",
    "version": 1
  }
}