Pith Number

pith:JJJIR6J2

pith:2018:JJJIR6J2KBY3VDRCO7IEBISMN6

not attested not anchored not stored refs pending

The maximum size of short character sums

Marc Munsch

arxiv:1805.07163 v1 · 2018-05-18 · 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{JJJIR6J2KBY3VDRCO7IEBISMN6}

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	2026-05-18T00:15:39.059224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a5288f93a5071ba8e2277d040a24c6fa67f2ff3a8190ace632641db4f7fba39

Aliases

arxiv: 1805.07163 · arxiv_version: 1805.07163v1 · doi: 10.48550/arxiv.1805.07163 · pith_short_12: JJJIR6J2KBY3 · pith_short_16: JJJIR6J2KBY3VDRC · pith_short_8: JJJIR6J2

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/JJJIR6J2KBY3VDRCO7IEBISMN6 \
  | 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: 4a5288f93a5071ba8e2277d040a24c6fa67f2ff3a8190ace632641db4f7fba39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f92ca80a2d5840c976fc88dfc811263cb35553d0e63738bf93a15bb2bcdc22a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-05-18T12:12:25Z",
    "title_canon_sha256": "44b08f087c7ba375eecd25e5c7197efb8ce1013f44a9e58ba35eae9df767cfc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.07163",
    "kind": "arxiv",
    "version": 1
  }
}