Pith Number

pith:3JEJ42DF

pith:2017:3JEJ42DFX4BZRQZRTZKQUYV4I2

not attested not anchored not stored refs pending

High moments of the Estermann function

Sandro Bettin

arxiv:1701.06601 v1 · 2017-01-23 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3JEJ42DFX4BZRQZRTZKQUYV4I2}

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	2026-05-17T23:50:16.526718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da489e6865bf0398c3319e550a62bc46b70cd8317c70d1f5cf496f0a549c3c7d

Aliases

arxiv: 1701.06601 · arxiv_version: 1701.06601v1 · doi: 10.48550/arxiv.1701.06601 · pith_short_12: 3JEJ42DFX4BZ · pith_short_16: 3JEJ42DFX4BZRQZR · pith_short_8: 3JEJ42DF

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/3JEJ42DFX4BZRQZRTZKQUYV4I2 \
  | 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: da489e6865bf0398c3319e550a62bc46b70cd8317c70d1f5cf496f0a549c3c7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfbb79ae910ff74baac55ff03bab0669e84c8d26ccf6fd9292a8e6a37329ac8e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-01-23T19:40:35Z",
    "title_canon_sha256": "9f2a38433afc1dc3446dffb35afffef1173c1fed0b3c64f2a38fa964bddcf597"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.06601",
    "kind": "arxiv",
    "version": 1
  }
}