Pith Number

pith:OV6EMVPO

pith:2015:OV6EMVPOLMA5B66YZ3XEXWNIZ5

not attested not anchored not stored refs pending

Residues and duality on semi-local two-dimensional adeles

Dongwen Liu

arxiv:1505.01261 v2 · 2015-05-06 · 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{OV6EMVPOLMA5B66YZ3XEXWNIZ5}

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	2026-05-18T01:28:38.491595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

757c4655ee5b01d0fbd8ceee4bd9a8cf7066418ec6d612021e415ca92768449e

Aliases

arxiv: 1505.01261 · arxiv_version: 1505.01261v2 · doi: 10.48550/arxiv.1505.01261 · pith_short_12: OV6EMVPOLMA5 · pith_short_16: OV6EMVPOLMA5B66Y · pith_short_8: OV6EMVPO

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/OV6EMVPOLMA5B66YZ3XEXWNIZ5 \
  | 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: 757c4655ee5b01d0fbd8ceee4bd9a8cf7066418ec6d612021e415ca92768449e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1f8d475c999d861151e259f0ef2d1319290a8ee0852f4b6aaed95ea8322652d",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-05-06T06:53:33Z",
    "title_canon_sha256": "15a2db491983ab0141546c2b339ded489b979ec7e92cd57d14e203219870e983"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01261",
    "kind": "arxiv",
    "version": 2
  }
}