Pith Number

pith:L4IGVTY7

pith:2016:L4IGVTY74F2STOIVSZ65IAS35M

not attested not anchored not stored refs pending

Finiteness Theorems for Products and Symmetric Products of Hyperbolic Riemann Surfaces

Divakaran Divakaran, Jaikrishnan Janardhanan

arxiv:1612.02121 v2 · 2016-12-07 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L4IGVTY74F2STOIVSZ65IAS35M}

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	2026-05-18T00:54:52.438343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f106acf1fe17529b915967dd4025beb140f0f119d9f4c87af0dcc81dc27c9b0

Aliases

arxiv: 1612.02121 · arxiv_version: 1612.02121v2 · doi: 10.48550/arxiv.1612.02121 · pith_short_12: L4IGVTY74F2S · pith_short_16: L4IGVTY74F2STOIV · pith_short_8: L4IGVTY7

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/L4IGVTY74F2STOIVSZ65IAS35M \
  | 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: 5f106acf1fe17529b915967dd4025beb140f0f119d9f4c87af0dcc81dc27c9b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d56031c7e2a1932836c752a3d2b02b1ee3153ac55db311d8c0e160cc72a9f58d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-12-07T06:13:51Z",
    "title_canon_sha256": "e8a8e2d22f31a6851a8554ea3a6124402d818bff6c27ca2e08a855af8c23f08d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02121",
    "kind": "arxiv",
    "version": 2
  }
}