Pith Number

pith:FOIFP2SO

pith:2016:FOIFP2SOCOIJHQNPX54GFDELFM

not attested not anchored not stored refs pending

Obstructions to the Hasse principle in families

Martin Bright

arxiv:1607.01303 v3 · 2016-07-05 · 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{FOIFP2SOCOIJHQNPX54GFDELFM}

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	2026-05-18T00:03:41.935802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b9057ea4e139093c1afbf78628c8b2b0f77cb562fbf83be945a84d2f6a3ac32

Aliases

arxiv: 1607.01303 · arxiv_version: 1607.01303v3 · doi: 10.48550/arxiv.1607.01303 · pith_short_12: FOIFP2SOCOIJ · pith_short_16: FOIFP2SOCOIJHQNP · pith_short_8: FOIFP2SO

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/FOIFP2SOCOIJHQNPX54GFDELFM \
  | 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: 2b9057ea4e139093c1afbf78628c8b2b0f77cb562fbf83be945a84d2f6a3ac32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83b3207dc0a89e7746032e92e81b475c281aacb520b6ced331dcaad6c4b3a060",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-07-05T15:40:14Z",
    "title_canon_sha256": "fb1594b70b6d612eaab1964d47dd22fad4d1f57a27ab886f333cfd32931480e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01303",
    "kind": "arxiv",
    "version": 3
  }
}