Pith Number

pith:BS7CAIFM

pith:2010:BS7CAIFMKCRFFL2ZUXRIOMD53F

not attested not anchored not stored refs pending

Elementary formulas for integer partitions

Mohamed El Bachraoui

arxiv:1004.4849 v1 · 2010-04-27 · 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{BS7CAIFMKCRFFL2ZUXRIOMD53F}

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	2026-05-18T02:24:15.785807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cbe2020ac50a252af59a5e287307dd97511d57322d712eea044cf49cc6e946b

Aliases

arxiv: 1004.4849 · arxiv_version: 1004.4849v1 · doi: 10.48550/arxiv.1004.4849 · pith_short_12: BS7CAIFMKCRF · pith_short_16: BS7CAIFMKCRFFL2Z · pith_short_8: BS7CAIFM

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/BS7CAIFMKCRFFL2ZUXRIOMD53F \
  | 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: 0cbe2020ac50a252af59a5e287307dd97511d57322d712eea044cf49cc6e946b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5661cc8b7b5b2a5843de5ce42fac96536bb1cd2e9b1d287b7e07ac86880961a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-04-27T16:14:56Z",
    "title_canon_sha256": "657c7b15a072cb50d83d811ecd6517be496c08da6e190c35694c4ae0a7da33c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4849",
    "kind": "arxiv",
    "version": 1
  }
}