Pith Number

pith:IYQUQMKO

pith:2016:IYQUQMKORYXXORY5NC66AG4RSC

not attested not anchored not stored refs pending

On the fixed points of the map $x \mapsto x^x$ modulo a prime, II

Adam Tyler Felix, P\"ar Kurlberg

arxiv:1607.04948 v2 · 2016-07-18 · 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{IYQUQMKORYXXORY5NC66AG4RSC}

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	2026-05-18T00:41:01.835703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

462148314e8e2f77471d68bde01b9190b734ef7b2a7cc4b7d74e487c4f81e836

Aliases

arxiv: 1607.04948 · arxiv_version: 1607.04948v2 · doi: 10.48550/arxiv.1607.04948 · pith_short_12: IYQUQMKORYXX · pith_short_16: IYQUQMKORYXXORY5 · pith_short_8: IYQUQMKO

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/IYQUQMKORYXXORY5NC66AG4RSC \
  | 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: 462148314e8e2f77471d68bde01b9190b734ef7b2a7cc4b7d74e487c4f81e836

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f2a50ca0d2fcd100f5dff8aa7d4ba0a5226aecbda37db55b9f55be3eb0aad01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-07-18T04:25:20Z",
    "title_canon_sha256": "5acbba8e7b35e8260471e56d807a1713f5e63e7a0fa1db7b34db82be391bb5aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04948",
    "kind": "arxiv",
    "version": 2
  }
}