Pith Number

pith:EPNFC4FG

pith:2016:EPNFC4FGCOLTVGETDUOHO34H27

not attested not anchored not stored refs pending

Salem numbers and the spectrum of hyperbolic surfaces

Bertrand Deroin, Emmanuel Breuillard

arxiv:1612.05935 v1 · 2016-12-18 · math.NT · 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{EPNFC4FGCOLTVGETDUOHO34H27}

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	2026-05-18T00:54:46.315218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23da5170a613973a98931d1c776f87d7e9efab85adc08cb6c813879e8acb95bf

Aliases

arxiv: 1612.05935 · arxiv_version: 1612.05935v1 · doi: 10.48550/arxiv.1612.05935 · pith_short_12: EPNFC4FGCOLT · pith_short_16: EPNFC4FGCOLTVGET · pith_short_8: EPNFC4FG

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/EPNFC4FGCOLTVGETDUOHO34H27 \
  | 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: 23da5170a613973a98931d1c776f87d7e9efab85adc08cb6c813879e8acb95bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c076738b8171a8f4b7a7de22bd36633080b971d5030ba3a53de63826a66ed035",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-12-18T15:45:00Z",
    "title_canon_sha256": "059e1cf53bc3d5b1f6e9a4086214cf6ccbb2637ee01251f8a0c208c3f6f00908"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05935",
    "kind": "arxiv",
    "version": 1
  }
}