Pith Number

pith:VMHILTHE

pith:2016:VMHILTHE7TY3EIRAK6LYYBOISC

not attested not anchored not stored refs pending

On the asymptotic prime partitions of integers

Johann Bartel, Matthias Brack, M. V. N. Murthy, R. K. Bhaduri

arxiv:1609.06497 v4 · 2016-09-21 · math-ph · math.MP · 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{VMHILTHE7TY3EIRAK6LYYBOISC}

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	2026-05-18T00:44:52.263910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab0e85cce4fcf1b2222057978c05c8908505732c331ee3c7261d3d3180985cb4

Aliases

arxiv: 1609.06497 · arxiv_version: 1609.06497v4 · doi: 10.48550/arxiv.1609.06497 · pith_short_12: VMHILTHE7TY3 · pith_short_16: VMHILTHE7TY3EIRA · pith_short_8: VMHILTHE

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/VMHILTHE7TY3EIRAK6LYYBOISC \
  | 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: ab0e85cce4fcf1b2222057978c05c8908505732c331ee3c7261d3d3180985cb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b58ae7b086bd1fc2fa1df437b447bd55df0f65f1d9f09ffec9a4622808e0f904",
    "cross_cats_sorted": [
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-09-21T11:08:33Z",
    "title_canon_sha256": "df8c6a842cb05471b0ae0ba83ff7423c8bab0283a2f9d9da65395ce286ec6d84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06497",
    "kind": "arxiv",
    "version": 4
  }
}