Pith Number

pith:DJ4HO7Q5

pith:2012:DJ4HO7Q5I4PCWO3BJ474J7C4GO

not attested not anchored not stored refs pending

Signs, involutions and Jacquet modules

Alan Roche, Steven Spallone

arxiv:1204.4746 v1 · 2012-04-20 · 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{DJ4HO7Q5I4PCWO3BJ474J7C4GO}

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	2026-05-18T03:57:15.430860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a78777e1d471e2b3b614f3fc4fc5c3388f3712cd8a41a07ed4d203436debdcc

Aliases

arxiv: 1204.4746 · arxiv_version: 1204.4746v1 · doi: 10.48550/arxiv.1204.4746 · pith_short_12: DJ4HO7Q5I4PC · pith_short_16: DJ4HO7Q5I4PCWO3B · pith_short_8: DJ4HO7Q5

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/DJ4HO7Q5I4PCWO3BJ474J7C4GO \
  | 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: 1a78777e1d471e2b3b614f3fc4fc5c3388f3712cd8a41a07ed4d203436debdcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f341e624ac585d5fc687d3d378604c20aa873325b17062f88e0df35f1f44bec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-04-20T20:57:14Z",
    "title_canon_sha256": "e98aacc3e443889311e17381d78b395ae1d2d93ad82931355126f6b574490580"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4746",
    "kind": "arxiv",
    "version": 1
  }
}