Pith Number

pith:5YTCR2KB

pith:2017:5YTCR2KBAXFUPNTTKJRKQ3LLKW

not attested not anchored not stored refs pending

Duality Spectral Sequences for Weierstrass Fibrations and Applications

Jason Lo, Ziyu Zhang

arxiv:1706.01923 v1 · 2017-06-06 · 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{5YTCR2KBAXFUPNTTKJRKQ3LLKW}

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	2026-05-18T00:21:27.913293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee2628e94105cb47b6735262a86d6b55a66d5403e0a7a23c5a328ec892a96b59

Aliases

arxiv: 1706.01923 · arxiv_version: 1706.01923v1 · doi: 10.48550/arxiv.1706.01923 · pith_short_12: 5YTCR2KBAXFU · pith_short_16: 5YTCR2KBAXFUPNTT · pith_short_8: 5YTCR2KB

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/5YTCR2KBAXFUPNTTKJRKQ3LLKW \
  | 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: ee2628e94105cb47b6735262a86d6b55a66d5403e0a7a23c5a328ec892a96b59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "697d91c01ad3aa94cf1bfc799730e5d717581fcb6fc35dd7be8e52c25fb5a7ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-06-06T18:40:13Z",
    "title_canon_sha256": "6fcc0991eb60feb25116dc220a4d2f910b9b1772f902cb21d8b4830f4f5d41e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.01923",
    "kind": "arxiv",
    "version": 1
  }
}