Pith Number

pith:DMJOSIA7

pith:2024:DMJOSIA7BL2JY7NSB3T3HJQ4SU

not attested not anchored not stored refs pending

Analytic expressions pertaining to certain arithmetical functions

Aung Phone Maw

arxiv:2411.17327 v1 · 2024-11-26 · math.CO · 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{DMJOSIA7BL2JY7NSB3T3HJQ4SU}

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	2026-07-05T09:40:30.565655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b12e9201f0af49c7db20ee7b3a61c951e6c55893fd2eaa76fbbe6c502af4241

Aliases

arxiv: 2411.17327 · arxiv_version: 2411.17327v1 · doi: 10.48550/arxiv.2411.17327 · pith_short_12: DMJOSIA7BL2J · pith_short_16: DMJOSIA7BL2JY7NS · pith_short_8: DMJOSIA7

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/DMJOSIA7BL2JY7NSB3T3HJQ4SU \
  | 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: 1b12e9201f0af49c7db20ee7b3a61c951e6c55893fd2eaa76fbbe6c502af4241

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a55746f42fc0464a72ec95e9fb18dc12a0b29906a0d76dfbd46c77aabbc5a953",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-11-26T11:14:56Z",
    "title_canon_sha256": "831dbd8f7e62ca6cac2621414e7b004edcd07273a10611d0bf9f00952e64349e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.17327",
    "kind": "arxiv",
    "version": 1
  }
}