Pith Number

pith:SAQ4Q54G

pith:2017:SAQ4Q54GCA7L52XPGHHKVBOIJ6

not attested not anchored not stored refs pending

Isocrystals associated to arithmetic jet spaces of abelian schemes

Arnab Saha, James Borger

arxiv:1712.09346 v3 · 2017-12-24 · math.NT · 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{SAQ4Q54GCA7L52XPGHHKVBOIJ6}

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	2026-05-17T23:47:44.414681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9021c87786103ebeeaef31ceaa85c84f8670c65f884d9fe58de00634f6a4a4f7

Aliases

arxiv: 1712.09346 · arxiv_version: 1712.09346v3 · doi: 10.48550/arxiv.1712.09346 · pith_short_12: SAQ4Q54GCA7L · pith_short_16: SAQ4Q54GCA7L52XP · pith_short_8: SAQ4Q54G

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/SAQ4Q54GCA7L52XPGHHKVBOIJ6 \
  | 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: 9021c87786103ebeeaef31ceaa85c84f8670c65f884d9fe58de00634f6a4a4f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76d4ae330c9a36e7e5cd99c9152c9f2b4cd1e2f890cbfdaffba44e0f5dfe3856",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-12-24T04:21:18Z",
    "title_canon_sha256": "d9856b0e6a1cb6c78e695ef909bfe861ee86272ad5d3dc309a9687c723be975d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.09346",
    "kind": "arxiv",
    "version": 3
  }
}