Pith Number

pith:5MM2DVXP

pith:2014:5MM2DVXPVULL4AAOQGWFKTVEFZ

not attested not anchored not stored refs pending

On The Gauss EYPHKA Theorem And Some Allied Inequalities

Alexander Berkovich

arxiv:1406.7835 v5 · 2014-06-30 · 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{5MM2DVXPVULL4AAOQGWFKTVEFZ}

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	2026-05-18T02:38:52.887654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb19a1d6efad16be000e81ac554ea42e4a4c5ed63a97c770da2d119e90a03ba9

Aliases

arxiv: 1406.7835 · arxiv_version: 1406.7835v5 · doi: 10.48550/arxiv.1406.7835 · pith_short_12: 5MM2DVXPVULL · pith_short_16: 5MM2DVXPVULL4AAO · pith_short_8: 5MM2DVXP

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/5MM2DVXPVULL4AAOQGWFKTVEFZ \
  | 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: eb19a1d6efad16be000e81ac554ea42e4a4c5ed63a97c770da2d119e90a03ba9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b16bf360fa504759786167bb9a62a4fefb9b4d5d638fe805ca86898b08d459a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-06-30T18:07:21Z",
    "title_canon_sha256": "bc2605b6a69e21fe4d8cb727c877a6519299249df7f4c396fd5790a34fe3a0b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.7835",
    "kind": "arxiv",
    "version": 5
  }
}