Pith Number

pith:CPB4GUAQ

pith:2016:CPB4GUAQC6I4DT3NCG2R7FP44N

not attested not anchored not stored refs pending

Revisiting Eisenstein-type criterion over integers

Akash Jena, Binod Kumar Sahoo

arxiv:1612.06700 v1 · 2016-12-13 · math.HO · 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{CPB4GUAQC6I4DT3NCG2R7FP44N}

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	2026-05-18T00:54:21.626694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13c3c350101791c1cf6d11b51f95fce35c7ba659aa86e4fe78d7d97651efac53

Aliases

arxiv: 1612.06700 · arxiv_version: 1612.06700v1 · doi: 10.48550/arxiv.1612.06700 · pith_short_12: CPB4GUAQC6I4 · pith_short_16: CPB4GUAQC6I4DT3N · pith_short_8: CPB4GUAQ

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/CPB4GUAQC6I4DT3NCG2R7FP44N \
  | 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: 13c3c350101791c1cf6d11b51f95fce35c7ba659aa86e4fe78d7d97651efac53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cdef79279e7b0748f646934e293e60c0d4d95baf732fe020d9c80d40bc8eee5",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2016-12-13T20:52:26Z",
    "title_canon_sha256": "6cb64824d2b6a61b340452a2249bd6e5d2a33105a4dc18bcda5727e879bce45e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06700",
    "kind": "arxiv",
    "version": 1
  }
}