Pith Number

pith:TMKTA5AQ

pith:2018:TMKTA5AQERQISK7L7MK4BNIHNM

not attested not anchored not stored refs pending

Hasse-Witt matrices, unit roots and period integrals

An Huang, Bong Lian, Chenglong Yu, Shing-Tung Yau

arxiv:1801.01189 v1 · 2018-01-03 · math.AG · 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{TMKTA5AQERQISK7L7MK4BNIHNM}

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	2026-05-18T00:26:42.871994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b153074102460892bebfb15c0b5076b3057d9b1a080512541508d6e2f4364d2

Aliases

arxiv: 1801.01189 · arxiv_version: 1801.01189v1 · doi: 10.48550/arxiv.1801.01189 · pith_short_12: TMKTA5AQERQI · pith_short_16: TMKTA5AQERQISK7L · pith_short_8: TMKTA5AQ

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/TMKTA5AQERQISK7L7MK4BNIHNM \
  | 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: 9b153074102460892bebfb15c0b5076b3057d9b1a080512541508d6e2f4364d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c09f46cc563d98ffeec719b260a0878c0124f5904f978a2a727042015ead6da",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-01-03T21:45:29Z",
    "title_canon_sha256": "7d532b7de9a476cf5d4eba6b09e5da25b355fa6a6530192af0f1a490b511f67b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.01189",
    "kind": "arxiv",
    "version": 1
  }
}