Pith Number

pith:4DO7SXBC

pith:2014:4DO7SXBCR2JNLXCZXRK4RV3D3R

not attested not anchored not stored refs pending

Weak positivity via mixed Hodge modules

Christian Schnell

arxiv:1401.5654 v1 · 2014-01-22 · 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{4DO7SXBCR2JNLXCZXRK4RV3D3R}

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	2026-05-18T03:01:25.645659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0ddf95c228e92d5dc59bc55c8d763dc437a94d937a30fdf26332848edbb6126

Aliases

arxiv: 1401.5654 · arxiv_version: 1401.5654v1 · doi: 10.48550/arxiv.1401.5654 · pith_short_12: 4DO7SXBCR2JN · pith_short_16: 4DO7SXBCR2JNLXCZ · pith_short_8: 4DO7SXBC

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/4DO7SXBCR2JNLXCZXRK4RV3D3R \
  | 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: e0ddf95c228e92d5dc59bc55c8d763dc437a94d937a30fdf26332848edbb6126

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa2390c969b1d9f6149fd9f4e1e283d57d0f237ede1d90e06b4e725da8f0a225",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-01-22T13:16:49Z",
    "title_canon_sha256": "a60c94330b4ce64b502e3fb0dc6f872827c397b5cafc5e4cd2ecb1536400e25b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.5654",
    "kind": "arxiv",
    "version": 1
  }
}