Pith Number

pith:DCGHT77N

pith:2018:DCGHT77NWXTAPTZMDVA7PMNNTV

not attested not anchored not stored refs pending

Sequential periods of the crystalline Frobenius

Julian Rosen

arxiv:1805.01885 v1 · 2018-05-04 · 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{DCGHT77NWXTAPTZMDVA7PMNNTV}

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.

Cited by

1 paper in Pith

Some results on naive transcendence in the ring of integers modulo infinitely large primes

Receipt and verification

First computed	2026-05-18T00:16:46.367898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

188c79ffedb5e607cf2c1d41f7b1ad9d7a32fe5f1e3821ec549ee457bec75763

Aliases

arxiv: 1805.01885 · arxiv_version: 1805.01885v1 · doi: 10.48550/arxiv.1805.01885 · pith_short_12: DCGHT77NWXTA · pith_short_16: DCGHT77NWXTAPTZM · pith_short_8: DCGHT77N

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/DCGHT77NWXTAPTZMDVA7PMNNTV \
  | 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: 188c79ffedb5e607cf2c1d41f7b1ad9d7a32fe5f1e3821ec549ee457bec75763

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a563c1a771d4a11df9620fd4b9853b32d95d5ccb4373b99a9496dfffa21cb95",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-05-04T17:56:21Z",
    "title_canon_sha256": "f5c7dfe6b98c390fca98a201dfed561f18fa31cd1d495083da6b2b1b529569b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.01885",
    "kind": "arxiv",
    "version": 1
  }
}