Pith Number

pith:7XQ34IQ7

pith:2017:7XQ34IQ7YJOB74HLVA4Z6XAZU7

not attested not anchored not stored refs pending

On ranks and cranks of partitions modulo $4$ and $8$

Eric T. Mortenson

arxiv:1707.02674 v3 · 2017-07-10 · 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{7XQ34IQ7YJOB74HLVA4Z6XAZU7}

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	2026-05-18T00:09:31.053543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fde1be221fc25c1ff0eba8399f5c19a7ebb72c8b0774c99093804fb7ed501d1c

Aliases

arxiv: 1707.02674 · arxiv_version: 1707.02674v3 · doi: 10.48550/arxiv.1707.02674 · pith_short_12: 7XQ34IQ7YJOB · pith_short_16: 7XQ34IQ7YJOB74HL · pith_short_8: 7XQ34IQ7

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/7XQ34IQ7YJOB74HLVA4Z6XAZU7 \
  | 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: fde1be221fc25c1ff0eba8399f5c19a7ebb72c8b0774c99093804fb7ed501d1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc8665075ad646bf71647e68c577451175ebeb408117a25e1c1e64b0f0ae768e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-07-10T01:59:23Z",
    "title_canon_sha256": "5f8e9ac72cf02077e90655deaee15c195ef06456b5c466f0cb6b3938aaea5ee7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.02674",
    "kind": "arxiv",
    "version": 3
  }
}