Pith Number

pith:BMO6LWKR

pith:2008:BMO6LWKR42Y66WCFWTFPBN33B5

not attested not anchored not stored refs pending

On a Dynamical Brauer-Manin Obstruction

Joseph H. Silverman, Liang-Chung Hsia

arxiv:0801.3045 v1 · 2008-01-19 · 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{BMO6LWKR42Y66WCFWTFPBN33B5}

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	2026-05-18T04:21:12.521056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b1de5d951e6b1ef5845b4caf0b77b0f4758b96a0b9b4ed2c0cf71a1f2b4039d

Aliases

arxiv: 0801.3045 · arxiv_version: 0801.3045v1 · doi: 10.48550/arxiv.0801.3045 · pith_short_12: BMO6LWKR42Y6 · pith_short_16: BMO6LWKR42Y66WCF · pith_short_8: BMO6LWKR

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/BMO6LWKR42Y66WCFWTFPBN33B5 \
  | 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: 0b1de5d951e6b1ef5845b4caf0b77b0f4758b96a0b9b4ed2c0cf71a1f2b4039d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c21066529c10ecd511f5e68454b3de76f08b1da9c3d8283532de983ee59e6c3",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2008-01-19T17:06:24Z",
    "title_canon_sha256": "088c2d3b424029873adb7bf241b1a8291adfc519f764a6a7ddd5764f594ff421"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.3045",
    "kind": "arxiv",
    "version": 1
  }
}