Pith Number

pith:5EW7P7SP

pith:2016:5EW7P7SPU4LOLNB6ADCSJUMVF3

not attested not anchored not stored refs pending

On Contraction of Algebraic Points

Fedor Bogomolov, Jin Qian

arxiv:1607.01832 v2 · 2016-07-06 · 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{5EW7P7SPU4LOLNB6ADCSJUMVF3}

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	2026-05-18T00:49:06.720744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e92df7fe4fa716e5b43e00c524d1952ed08e0c6b9bcca2a2754e6699f4b45e1f

Aliases

arxiv: 1607.01832 · arxiv_version: 1607.01832v2 · doi: 10.48550/arxiv.1607.01832 · pith_short_12: 5EW7P7SPU4LO · pith_short_16: 5EW7P7SPU4LOLNB6 · pith_short_8: 5EW7P7SP

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/5EW7P7SPU4LOLNB6ADCSJUMVF3 \
  | 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: e92df7fe4fa716e5b43e00c524d1952ed08e0c6b9bcca2a2754e6699f4b45e1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91975cd7c263d37937b6488542bf54fae4b4a5ff6139a8cd7d4afa8e07f7eca3",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-07-06T22:32:50Z",
    "title_canon_sha256": "887f9fcbbbee7f23f100234615ef44ff66af5fbf21f3676273f2d53f8d4bc236"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01832",
    "kind": "arxiv",
    "version": 2
  }
}