Pith Number

pith:MNRUU3L5

pith:2012:MNRUU3L5QBDGBNFN6Y7QOLJYRX

not attested not anchored not stored refs pending

Mixed Hodge structures and Weierstrass $\sigma$-function

Grzegorz Banaszak, Jan Milewski

arxiv:1211.0687 v1 · 2012-11-04 · 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{MNRUU3L5QBDGBNFN6Y7QOLJYRX}

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	2026-05-18T03:41:32.763350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63634a6d7d804660b4adf63f072d388dd6b888a7ed7b36ec1d8786c5262923ac

Aliases

arxiv: 1211.0687 · arxiv_version: 1211.0687v1 · doi: 10.48550/arxiv.1211.0687 · pith_short_12: MNRUU3L5QBDG · pith_short_16: MNRUU3L5QBDGBNFN · pith_short_8: MNRUU3L5

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/MNRUU3L5QBDGBNFN6Y7QOLJYRX \
  | 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: 63634a6d7d804660b4adf63f072d388dd6b888a7ed7b36ec1d8786c5262923ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65e8844c9593b32ef0f66642cf789b197d5d1eb099e6729bea35a3e905ea4491",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-11-04T14:38:29Z",
    "title_canon_sha256": "c2bc0ebcf782a3c3ece4a6d9e01470ecd035f0c3653ec8a0559b68c2b3aebea0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0687",
    "kind": "arxiv",
    "version": 1
  }
}