Pith Number

pith:NZGC6BDA

pith:2017:NZGC6BDAYH4A6TWXRL6KGCDROS

not attested not anchored not stored refs pending

Ulrich Bundles on Elliptic Curves and Theta Functions

Alexander Pavlov

arxiv:1711.08130 v1 · 2017-11-22 · 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{NZGC6BDAYH4A6TWXRL6KGCDROS}

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	2026-05-18T00:29:50.614973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e4c2f0460c1f80f4ed78afca308717487bec57aca6e61e3e682c7fcbb3f198d

Aliases

arxiv: 1711.08130 · arxiv_version: 1711.08130v1 · doi: 10.48550/arxiv.1711.08130 · pith_short_12: NZGC6BDAYH4A · pith_short_16: NZGC6BDAYH4A6TWX · pith_short_8: NZGC6BDA

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/NZGC6BDAYH4A6TWXRL6KGCDROS \
  | 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: 6e4c2f0460c1f80f4ed78afca308717487bec57aca6e61e3e682c7fcbb3f198d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "decaa19f4f3061a00ea5f739c95c5bd3da5329c9c545ef651de58c392a8ac04e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-11-22T05:01:26Z",
    "title_canon_sha256": "47bfeecdf507b159287b4a354cd8dcbc837b7eab7f2e6f58cc44d6efa9a6e360"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.08130",
    "kind": "arxiv",
    "version": 1
  }
}