Pith Number

pith:J7YCFAS6

pith:2012:J7YCFAS6SMBZLYVP6SHTMRSAUL

not attested not anchored not stored refs pending

Hodge structures and Weierstrass $\sigma$-function

Grzegorz Banaszak, Jan Milewski

arxiv:1209.0806 v1 · 2012-09-04 · 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{J7YCFAS6SMBZLYVP6SHTMRSAUL}

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	2026-05-18T03:46:16.181377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ff022825e930395e2aff48f364640a2ffc4a1dc555a5cfbb4efe324d8abf8da

Aliases

arxiv: 1209.0806 · arxiv_version: 1209.0806v1 · doi: 10.48550/arxiv.1209.0806 · pith_short_12: J7YCFAS6SMBZ · pith_short_16: J7YCFAS6SMBZLYVP · pith_short_8: J7YCFAS6

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/J7YCFAS6SMBZLYVP6SHTMRSAUL \
  | 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: 4ff022825e930395e2aff48f364640a2ffc4a1dc555a5cfbb4efe324d8abf8da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec4a33a879b4d9ae562a1b2084d0cdedccdbad4e570f79e1438c1354d3a2950a",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-09-04T21:46:47Z",
    "title_canon_sha256": "cc48e3fed2d0c85ab1a8ea53230fa3d5a3ac6654b2e6520068ba0d1dab3429a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0806",
    "kind": "arxiv",
    "version": 1
  }
}