Pith Number

pith:MEPXLIMX

pith:2009:MEPXLIMXVQH33T4ULZMIWSZ22G

not attested not anchored not stored refs pending

Distribution of holonomy about closed geodesics in a product of hyperbolic planes

Dubi Kelmer

arxiv:0911.0329 v2 · 2009-11-02 · math.NT · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MEPXLIMXVQH33T4ULZMIWSZ22G}

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	2026-05-18T04:41:44.057024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

611f75a197ac0fbdcf945e588b4b3ad1a438ae93233326e313f341049ac3734b

Aliases

arxiv: 0911.0329 · arxiv_version: 0911.0329v2 · doi: 10.48550/arxiv.0911.0329 · pith_short_12: MEPXLIMXVQH3 · pith_short_16: MEPXLIMXVQH33T4U · pith_short_8: MEPXLIMX

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/MEPXLIMXVQH33T4ULZMIWSZ22G \
  | 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: 611f75a197ac0fbdcf945e588b4b3ad1a438ae93233326e313f341049ac3734b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9af04b1ba747b6da016b560806d37628a9b8d4eff01776d7f9ee21b5c3530f02",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-11-02T14:58:59Z",
    "title_canon_sha256": "d80dea97f50c741dfed02a448c1e6d03a0978ad6ad711ce030b8cf2abb2ae3f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.0329",
    "kind": "arxiv",
    "version": 2
  }
}