Pith Number

pith:4FREJA2U

pith:2013:4FREJA2UBFUW7SDUK7VSAMMFSP

not attested not anchored not stored refs pending

Some conjectures in elementary number theory

Angelo B. Mingarelli

arxiv:1302.5299 v1 · 2013-02-21 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4FREJA2UBFUW7SDUK7VSAMMFSP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:32:58.097400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e16244835409696fc87457eb20318593c88f37321ab867200089ce3bb756aca6

Aliases

arxiv: 1302.5299 · arxiv_version: 1302.5299v1 · doi: 10.48550/arxiv.1302.5299 · pith_short_12: 4FREJA2UBFUW · pith_short_16: 4FREJA2UBFUW7SDU · pith_short_8: 4FREJA2U

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/4FREJA2UBFUW7SDUK7VSAMMFSP \
  | 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: e16244835409696fc87457eb20318593c88f37321ab867200089ce3bb756aca6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a42a9f1af439ef03d551cb905c591c6888ba4ccd0cb66d9a172ef58bf7fc4607",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-02-21T15:14:26Z",
    "title_canon_sha256": "884cd03b6302331e6090150735a7e2da1747ccca88069e47c1a2e9ce4accdc8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5299",
    "kind": "arxiv",
    "version": 1
  }
}