Pith Number

pith:VOO64GOA

pith:2012:VOO64GOATR5NGNYLBIZ5ED4G7J

not attested not anchored not stored refs pending

Epipelagic L-packets and rectifying characters

Tasho Kaletha

arxiv:1209.1720 v1 · 2012-09-08 · math.RT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VOO64GOATR5NGNYLBIZ5ED4G7J}

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	2026-05-18T03:45:54.572388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab9dee19c09c7ad3370b0a33d20f86fa6629e24a97a8eb6a4f7b5e677ee608ed

Aliases

arxiv: 1209.1720 · arxiv_version: 1209.1720v1 · doi: 10.48550/arxiv.1209.1720 · pith_short_12: VOO64GOATR5N · pith_short_16: VOO64GOATR5NGNYL · pith_short_8: VOO64GOA

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/VOO64GOATR5NGNYLBIZ5ED4G7J \
  | 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: ab9dee19c09c7ad3370b0a33d20f86fa6629e24a97a8eb6a4f7b5e677ee608ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cde58b4333eaa77e7e455763d42a09364c06d2797511fff5d45142d887b15c05",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-09-08T14:08:47Z",
    "title_canon_sha256": "6df1f92cdf1a66f8ec7412ead5d63e1ca07d0879656e6db65929b943050bcb37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1720",
    "kind": "arxiv",
    "version": 1
  }
}