Pith Number

pith:WHDUCLB6

pith:2012:WHDUCLB6XVPJ2S2JFZTGMMBIED

not attested not anchored not stored refs pending

Experiments with the transcendental Brauer-Manin obstruction

Andreas-Stephan Elsenhans, J\"org Jahnel

arxiv:1203.0153 v2 · 2012-03-01 · 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{WHDUCLB6XVPJ2S2JFZTGMMBIED}

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	2026-05-18T03:55:36.971792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1c7412c3ebd5e9d4b492e6666302820de3345c442066bba69dc18ae051de6da

Aliases

arxiv: 1203.0153 · arxiv_version: 1203.0153v2 · doi: 10.48550/arxiv.1203.0153 · pith_short_12: WHDUCLB6XVPJ · pith_short_16: WHDUCLB6XVPJ2S2J · pith_short_8: WHDUCLB6

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/WHDUCLB6XVPJ2S2JFZTGMMBIED \
  | 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: b1c7412c3ebd5e9d4b492e6666302820de3345c442066bba69dc18ae051de6da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fca6eb2ad97de5329239bb18e8390c61fd33bda5d165278d352a8924f5864a5b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-03-01T11:33:11Z",
    "title_canon_sha256": "6653f8eca9b2fec85c4b45a593fc5166d7fc87fc09ccecdacdcb82179b19fb5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0153",
    "kind": "arxiv",
    "version": 2
  }
}