Pith Number

pith:AARJD4WZ

pith:2017:AARJD4WZILSE2UC5KRBJF7DFHY

not attested not anchored not stored refs pending

Total $p$-differentials on schemes over $Z/p^2$

David Zureick-Brown, Eric Katz, Joseph Rabinoff, Taylor Dupuy

arxiv:1712.09487 v1 · 2017-12-27 · 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{AARJD4WZILSE2UC5KRBJF7DFHY}

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	2026-05-18T00:27:08.239577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

002291f2d942e44d505d544292fc653e230f10fe8cead5799355c743944d7e2a

Aliases

arxiv: 1712.09487 · arxiv_version: 1712.09487v1 · doi: 10.48550/arxiv.1712.09487 · pith_short_12: AARJD4WZILSE · pith_short_16: AARJD4WZILSE2UC5 · pith_short_8: AARJD4WZ

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/AARJD4WZILSE2UC5KRBJF7DFHY \
  | 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: 002291f2d942e44d505d544292fc653e230f10fe8cead5799355c743944d7e2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47231841795520ba44701da58851158df4417d6c32c79d0c257fba6626a1d3e5",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-12-27T04:21:35Z",
    "title_canon_sha256": "a1c62bcc7b859c08fa7621dda8b3656db79173bb3510340cd57d8549c1684c89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.09487",
    "kind": "arxiv",
    "version": 1
  }
}