Pith Number

pith:AR4JBYD5

pith:2015:AR4JBYD5LXT6MACMU2B3MXNP7S

not attested not anchored not stored refs pending

A zero-sqrt(5)/ 2 law for cosine families

Jean Esterle (IMB)

arxiv:1505.06064 v1 · 2015-05-22 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AR4JBYD5LXT6MACMU2B3MXNP7S}

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	2026-05-18T02:03:49.250094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

047890e07d5de7e6004ca683b65daffcbfd1472dc83cdd810baeb6d17f60f085

Aliases

arxiv: 1505.06064 · arxiv_version: 1505.06064v1 · doi: 10.48550/arxiv.1505.06064 · pith_short_12: AR4JBYD5LXT6 · pith_short_16: AR4JBYD5LXT6MACM · pith_short_8: AR4JBYD5

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/AR4JBYD5LXT6MACMU2B3MXNP7S \
  | 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: 047890e07d5de7e6004ca683b65daffcbfd1472dc83cdd810baeb6d17f60f085

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9ae46a52f89401c13ef009dd6b590d245162087be6844ea861a92a2d1ebe2d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-05-22T13:24:44Z",
    "title_canon_sha256": "abc6b398db7a9cb485978cb5cbc15cb0673e65908236aef77ae54a70e446035d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06064",
    "kind": "arxiv",
    "version": 1
  }
}