Pith Number

pith:UZIR5ZIH

pith:2016:UZIR5ZIHBJLSQZWMZO5CY4DLJR

not attested not anchored not stored refs pending

Geodesics and nodal sets of Laplace eigenfunctions on hyperbolic manifolds

Chris Judge, Sugata Mondal

arxiv:1601.05697 v2 · 2016-01-21 · math.DG · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UZIR5ZIHBJLSQZWMZO5CY4DLJR}

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	2026-05-18T00:00:33.033500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6511ee5070a572866cccbba2c706b4c468111e91751786bdc03e5e052c24df8

Aliases

arxiv: 1601.05697 · arxiv_version: 1601.05697v2 · doi: 10.48550/arxiv.1601.05697 · pith_short_12: UZIR5ZIHBJLS · pith_short_16: UZIR5ZIHBJLSQZWM · pith_short_8: UZIR5ZIH

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/UZIR5ZIHBJLSQZWMZO5CY4DLJR \
  | 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: a6511ee5070a572866cccbba2c706b4c468111e91751786bdc03e5e052c24df8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09ecf12f87af54d449cca9bc501b9fdb5235bbde783bf269cf5b3f2226bfefa0",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-01-21T16:22:20Z",
    "title_canon_sha256": "4dad632d5dceb8a1946236d00d91a9f04d4e58c4d5177692bac1cd816f71cccd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05697",
    "kind": "arxiv",
    "version": 2
  }
}