Pith Number

pith:7X2CMKKZ

pith:2017:7X2CMKKZIX2KEUWKFQ7PD55RIK

not attested not anchored not stored refs pending

A universal Torelli theorem for elliptic surfaces

C. S. Rajan, S. Subramanian

arxiv:1706.00564 v2 · 2017-06-02 · math.AG · math.NT · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7X2CMKKZIX2KEUWKFQ7PD55RIK}

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	2026-05-18T00:40:12.811106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdf426295945f4a252ca2c3ef1f7b142a0e5b44b548a699cbbd2daf643ef2f59

Aliases

arxiv: 1706.00564 · arxiv_version: 1706.00564v2 · doi: 10.48550/arxiv.1706.00564 · pith_short_12: 7X2CMKKZIX2K · pith_short_16: 7X2CMKKZIX2KEUWK · pith_short_8: 7X2CMKKZ

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/7X2CMKKZIX2KEUWKFQ7PD55RIK \
  | 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: fdf426295945f4a252ca2c3ef1f7b142a0e5b44b548a699cbbd2daf643ef2f59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abb9636b0504d68dbc09fe8d2153b0f1d654e3d65c8244cdf409d173d50fcc2b",
    "cross_cats_sorted": [
      "math.NT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-06-02T06:09:24Z",
    "title_canon_sha256": "6f81298f8c6fa0541e9cfc408344cba962a4d5165aef4ed640b0a6fb4b6b605f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.00564",
    "kind": "arxiv",
    "version": 2
  }
}