Pith Number

pith:MX72TOQ2

pith:2013:MX72TOQ2EPY35Z3OLSM7HGVAFJ

not attested not anchored not stored refs pending

Ext-analogues of Branching laws

Dipendra Prasad

arxiv:1306.2729 v2 · 2013-06-12 · math.NT · 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{MX72TOQ2EPY35Z3OLSM7HGVAFJ}

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	2026-05-18T00:29:06.110560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65ffa9ba1a23f1bee76e5c99f39aa02a6f76c95e2342791e8c4d923f9f185bce

Aliases

arxiv: 1306.2729 · arxiv_version: 1306.2729v2 · doi: 10.48550/arxiv.1306.2729 · pith_short_12: MX72TOQ2EPY3 · pith_short_16: MX72TOQ2EPY35Z3O · pith_short_8: MX72TOQ2

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/MX72TOQ2EPY35Z3OLSM7HGVAFJ \
  | 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: 65ffa9ba1a23f1bee76e5c99f39aa02a6f76c95e2342791e8c4d923f9f185bce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12e1d0d00e11a761f60abc577ec9ab269b8040c70323441f6f4d64813df6c871",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-06-12T07:27:18Z",
    "title_canon_sha256": "9ebe2bbd68f0db1cf5362e5911ccb7018d8a8d5f7434d27b100b46e7afe58fe6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2729",
    "kind": "arxiv",
    "version": 2
  }
}