Pith Number

pith:NYZ4TSWD

pith:2012:NYZ4TSWDCNLWZZIP4C2SM2QH3I

not attested not anchored not stored refs pending

The zero section of the universal semiabelian variety, and the double ramification cycle

Dmitry Zakharov, Samuel Grushevsky

arxiv:1206.3534 v2 · 2012-06-15 · 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{NYZ4TSWDCNLWZZIP4C2SM2QH3I}

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	2026-05-18T02:52:32.600735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e33c9cac313576ce50fe0b5266a07da3f71433e42b4c7a8b237c42510644b7b

Aliases

arxiv: 1206.3534 · arxiv_version: 1206.3534v2 · doi: 10.48550/arxiv.1206.3534 · pith_short_12: NYZ4TSWDCNLW · pith_short_16: NYZ4TSWDCNLWZZIP · pith_short_8: NYZ4TSWD

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/NYZ4TSWDCNLWZZIP4C2SM2QH3I \
  | 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: 6e33c9cac313576ce50fe0b5266a07da3f71433e42b4c7a8b237c42510644b7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f9bbabef40dd766350f26b192162e9fbb362bd975bf37ed3f3a9ff238c8bd18",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-06-15T18:17:27Z",
    "title_canon_sha256": "e1a86a0710631c0bc61c301dab863e202ed6f564b0c712218decee46d46ad594"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3534",
    "kind": "arxiv",
    "version": 2
  }
}