Pith Number

pith:DDVW5224

pith:2003:DDVW522446GW5SHVQW2NTUYMDW

not attested not anchored not stored refs pending

Algebraic cycles on Hilbert modular fourfolds and poles of L-functions

Dinakar Ramakrishnan

arxiv:math/0310162 v1 · 2003-10-11 · 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{DDVW522446GW5SHVQW2NTUYMDW}

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	2026-07-04T14:37:47.071337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18eb6eeb5ce78d6ec8f585b4d9d30c1da05e8af2aeacae6e3f688aa87aa541c7

Aliases

arxiv: math/0310162 · arxiv_version: math/0310162v1 · doi: 10.48550/arxiv.math/0310162 · pith_short_12: DDVW522446GW · pith_short_16: DDVW522446GW5SHV · pith_short_8: DDVW5224

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/DDVW522446GW5SHVQW2NTUYMDW \
  | 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: 18eb6eeb5ce78d6ec8f585b4d9d30c1da05e8af2aeacae6e3f688aa87aa541c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05afc6a6dbc7b114006756251b8d7eb98770d60a4064012d322d4b96e6375c69",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2003-10-11T00:40:57Z",
    "title_canon_sha256": "776887d5817cebf47ebc86f2ecace007807750d82541bcbf93026cb70aa071ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0310162",
    "kind": "arxiv",
    "version": 1
  }
}