Pith Number

pith:EU23GSJQ

pith:2019:EU23GSJQCSBCU3ZM4EQ2NA6JDJ

not attested not anchored not stored refs pending

Characters of $\pi'$-degree

Carolina Vallejo, Eugenio Giannelli, Mandi Schaeffer Fry

arxiv:1903.09609 v1 · 2019-03-22 · math.RT · 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{EU23GSJQCSBCU3ZM4EQ2NA6JDJ}

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	2026-05-17T23:50:39.179748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2535b3493014822a6f2ce121a683c91a7b95f48e8b49c39fe00f73cd74be11fe

Aliases

arxiv: 1903.09609 · arxiv_version: 1903.09609v1 · doi: 10.48550/arxiv.1903.09609 · pith_short_12: EU23GSJQCSBC · pith_short_16: EU23GSJQCSBCU3ZM · pith_short_8: EU23GSJQ

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/EU23GSJQCSBCU3ZM4EQ2NA6JDJ \
  | 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: 2535b3493014822a6f2ce121a683c91a7b95f48e8b49c39fe00f73cd74be11fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "765097f77e90952d4a1502c059ea38257d005cd0ab9885313b2b89a809842f67",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2019-03-22T17:08:26Z",
    "title_canon_sha256": "73841deebbb4f1c6c05546364c9ef507f735ff7be3a869bce0528063633a78c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.09609",
    "kind": "arxiv",
    "version": 1
  }
}