Pith Number

pith:I32AYYVR

pith:2017:I32AYYVRAK2BNNP2D4PJDAYUDM

not attested not anchored not stored refs pending

Upper bounds for geodesic periods over rank one locally symmetric spaces

Feng Su, Jan M\"ollers

arxiv:1709.00935 v1 · 2017-09-04 · 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{I32AYYVRAK2BNNP2D4PJDAYUDM}

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	2026-05-17T23:56:41.601034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46f40c62b102b416b5fa1f1e9183141b2911147982ab2d82e0379dbb5f2cbd90

Aliases

arxiv: 1709.00935 · arxiv_version: 1709.00935v1 · doi: 10.48550/arxiv.1709.00935 · pith_short_12: I32AYYVRAK2B · pith_short_16: I32AYYVRAK2BNNP2 · pith_short_8: I32AYYVR

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/I32AYYVRAK2BNNP2D4PJDAYUDM \
  | 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: 46f40c62b102b416b5fa1f1e9183141b2911147982ab2d82e0379dbb5f2cbd90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b2cdefa450d35b8bf41e13d979163b42c78d5455b0b0d0e296893fd45a9e14c",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-09-04T13:09:28Z",
    "title_canon_sha256": "19ed5045a2c61ac7016a1d4ce97615b92316e3e47c5abed7030350e0e085c86e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.00935",
    "kind": "arxiv",
    "version": 1
  }
}