Pith Number

pith:2HVGLOED

pith:2016:2HVGLOEDD6VQBLVI4KARO2UUIZ

not attested not anchored not stored refs pending

Comparing descent obstruction and Brauer-Manin obstruction for open varieties

Cyril Demarche, Fei Xu, Yang Cao

arxiv:1604.02709 v4 · 2016-04-10 · 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{2HVGLOEDD6VQBLVI4KARO2UUIZ}

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	2026-05-18T00:21:29.269194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1ea65b8831fab00aea8e281176a94467d49ee6dcf54ede4664fd85466a58d26

Aliases

arxiv: 1604.02709 · arxiv_version: 1604.02709v4 · doi: 10.48550/arxiv.1604.02709 · pith_short_12: 2HVGLOEDD6VQ · pith_short_16: 2HVGLOEDD6VQBLVI · pith_short_8: 2HVGLOED

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/2HVGLOEDD6VQBLVI4KARO2UUIZ \
  | 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: d1ea65b8831fab00aea8e281176a94467d49ee6dcf54ede4664fd85466a58d26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "537f3d740a1dd10fb452bb2725ab1729f1e8673272661ad70f602289713a7183",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-04-10T15:55:39Z",
    "title_canon_sha256": "979c075635de38a7f9d91af4481169394378adc0d0050d756edb73d5222a1866"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02709",
    "kind": "arxiv",
    "version": 4
  }
}