Pith Number

pith:MRLRML7M

pith:2016:MRLRML7MWQJSHRCKXKFZYFKM62

not attested not anchored not stored refs pending

The number of $\mathbb{F}_p$-points on Dwork hypersurfaces and hypergeometric functions

Dermot McCarthy

arxiv:1608.05697 v2 · 2016-08-19 · 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{MRLRML7MWQJSHRCKXKFZYFKM62}

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	2026-05-18T01:08:23.412630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6457162fecb41323c44aba8b9c154cf69d284161f2f53ced24d28dadfb2ff933

Aliases

arxiv: 1608.05697 · arxiv_version: 1608.05697v2 · doi: 10.48550/arxiv.1608.05697 · pith_short_12: MRLRML7MWQJS · pith_short_16: MRLRML7MWQJSHRCK · pith_short_8: MRLRML7M

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/MRLRML7MWQJSHRCKXKFZYFKM62 \
  | 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: 6457162fecb41323c44aba8b9c154cf69d284161f2f53ced24d28dadfb2ff933

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81f0b853c49c7ebff6b4923f66bae92c5d2323cc47205d5f233ee282d348f9c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-08-19T19:02:12Z",
    "title_canon_sha256": "5d87885deb976cf066c3e6021fe29c60c04661e2e206bbb63e1c4e295867a4c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.05697",
    "kind": "arxiv",
    "version": 2
  }
}