Pith Number

pith:MMGN4DTB

pith:2016:MMGN4DTB2O6BLE3QOPTB24O5PH

not attested not anchored not stored refs pending

A-hypergeometric series and the Hasse-Witt matrix of a hypersurface

Alan Adolphson, Steven Sperber

arxiv:1601.05127 v1 · 2016-01-19 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MMGN4DTB2O6BLE3QOPTB24O5PH}

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	2026-05-18T01:22:16.059636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

630cde0e61d3bc15937073e61d71dd79d13b1f25e9c6622072ba45906e5f4cc5

Aliases

arxiv: 1601.05127 · arxiv_version: 1601.05127v1 · doi: 10.48550/arxiv.1601.05127 · pith_short_12: MMGN4DTB2O6B · pith_short_16: MMGN4DTB2O6BLE3Q · pith_short_8: MMGN4DTB

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/MMGN4DTB2O6BLE3QOPTB24O5PH \
  | 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: 630cde0e61d3bc15937073e61d71dd79d13b1f25e9c6622072ba45906e5f4cc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a89e318139baca44fb0dd91080512bcfd4ec577a1fe2b04d5dec925df4c47c4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-01-19T22:53:24Z",
    "title_canon_sha256": "92121b55a7c1c0d527f38cd6745fb3d46acc9833ad82dee75eb490e13383182d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05127",
    "kind": "arxiv",
    "version": 1
  }
}