Pith Number

pith:TEHMCZ32

pith:2013:TEHMCZ32JAC2TZA7XRZ2HBLF4G

not attested not anchored not stored refs pending

Limiting distributions of the classical error terms of prime number theory

Amir Akbary, Majid Shahabi, Nathan Ng

arxiv:1306.1657 v1 · 2013-06-07 · 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{TEHMCZ32JAC2TZA7XRZ2HBLF4G}

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	2026-05-18T03:21:32.763662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

990ec1677a4805a9e41fbc73a38565e1bd072b2735438960b311104ca04f07da

Aliases

arxiv: 1306.1657 · arxiv_version: 1306.1657v1 · doi: 10.48550/arxiv.1306.1657 · pith_short_12: TEHMCZ32JAC2 · pith_short_16: TEHMCZ32JAC2TZA7 · pith_short_8: TEHMCZ32

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/TEHMCZ32JAC2TZA7XRZ2HBLF4G \
  | 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: 990ec1677a4805a9e41fbc73a38565e1bd072b2735438960b311104ca04f07da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00fc7436a250150526497c742dd4f13f557e65ce95c4791e7b08fce4d49dc4c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-06-07T09:00:51Z",
    "title_canon_sha256": "4c5659066d74df50be216e5dc6d6fed13c236608e2948be9d57e612aa0494eaf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1657",
    "kind": "arxiv",
    "version": 1
  }
}