Pith Number

pith:YDNMOVUX

pith:2010:YDNMOVUXEZ7VNATGQG3PXUGNHM

not attested not anchored not stored refs pending

Arthur Packets and the Ramanujan Conjecture

Freydoon Shahidi

arxiv:1007.2132 v1 · 2010-07-13 · 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{YDNMOVUXEZ7VNATGQG3PXUGNHM}

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	2026-05-18T02:29:30.290129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0dac75697267f56826681b6fbd0cd3b015ace65959441275571f4024c2bf505

Aliases

arxiv: 1007.2132 · arxiv_version: 1007.2132v1 · doi: 10.48550/arxiv.1007.2132 · pith_short_12: YDNMOVUXEZ7V · pith_short_16: YDNMOVUXEZ7VNATG · pith_short_8: YDNMOVUX

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/YDNMOVUXEZ7VNATGQG3PXUGNHM \
  | 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: c0dac75697267f56826681b6fbd0cd3b015ace65959441275571f4024c2bf505

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "002c5d6fcc3ef76946d530d04b15c3aed973af493f9a048622c0c7773a384c25",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-07-13T16:23:22Z",
    "title_canon_sha256": "b4e506d18cf9fb154c442be527083ee5baedefc5d5d981b466c69d6a98cc331a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.2132",
    "kind": "arxiv",
    "version": 1
  }
}