Pith Number

pith:BDNTI2GF

pith:2011:BDNTI2GF6777YYG4KSYRASSH7I

not attested not anchored not stored refs pending

On the sup-norm of Maass cusp forms of large level. III

Gergely Harcos, Nicolas Templier

arxiv:1110.4897 v2 · 2011-10-21 · 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{BDNTI2GF6777YYG4KSYRASSH7I}

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	2026-05-18T03:51:58.489473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08db3468c5f7fffc60dc54b1104a47fa1c8dfe4b908f85c0ad5f4be0909581b7

Aliases

arxiv: 1110.4897 · arxiv_version: 1110.4897v2 · doi: 10.48550/arxiv.1110.4897 · pith_short_12: BDNTI2GF6777 · pith_short_16: BDNTI2GF6777YYG4 · pith_short_8: BDNTI2GF

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/BDNTI2GF6777YYG4KSYRASSH7I \
  | 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: 08db3468c5f7fffc60dc54b1104a47fa1c8dfe4b908f85c0ad5f4be0909581b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63542e9f80fd07017420e673092924b8ad3caa19dcc9fe13b3065f17d410ee5e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-10-21T20:13:30Z",
    "title_canon_sha256": "c40665d1ea44b829f5e8898f97972e41ee8a962b7507d3ab3855c3bb82377436"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4897",
    "kind": "arxiv",
    "version": 2
  }
}