Pith Number

pith:5VXIAMOL

pith:2014:5VXIAMOLLLNFVG7BHPZJCLYLFO

not attested not anchored not stored refs pending

Purity Results on $F$-crystals

Jinghao Li

arxiv:1411.4699 v3 · 2014-11-18 · 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{5VXIAMOLLLNFVG7BHPZJCLYLFO}

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	2026-05-18T02:33:24.856437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed6e8031cb5ada5a9be13bf2912f0b2badd87e61b457ca52e11d9945318b5e3d

Aliases

arxiv: 1411.4699 · arxiv_version: 1411.4699v3 · doi: 10.48550/arxiv.1411.4699 · pith_short_12: 5VXIAMOLLLNF · pith_short_16: 5VXIAMOLLLNFVG7B · pith_short_8: 5VXIAMOL

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/5VXIAMOLLLNFVG7BHPZJCLYLFO \
  | 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: ed6e8031cb5ada5a9be13bf2912f0b2badd87e61b457ca52e11d9945318b5e3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddf42b6f6440840d1b866720b7ba8952c28c134ae22df8ac38092c1787ee3e4d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-11-18T00:27:18Z",
    "title_canon_sha256": "46a7dc40b84ed1cf951000b3f6905ec03c4702d9256097a6e837e72f04301374"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.4699",
    "kind": "arxiv",
    "version": 3
  }
}