Pith Number

pith:OHHYE2HO

pith:2016:OHHYE2HO75KTQNUJFSQUTELDR3

not attested not anchored not stored refs pending

Properly immersed surfaces in hyperbolic 3-manifolds

\'Alvaro K. Ramos, William H. Meeks III

arxiv:1603.02116 v3 · 2016-03-07 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OHHYE2HO75KTQNUJFSQUTELDR3}

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	2026-05-18T00:39:13.666017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71cf8268eeff553836892ca14991638edc4d8169b9b4cd58d191669f2d4e6fb3

Aliases

arxiv: 1603.02116 · arxiv_version: 1603.02116v3 · doi: 10.48550/arxiv.1603.02116 · pith_short_12: OHHYE2HO75KT · pith_short_16: OHHYE2HO75KTQNUJ · pith_short_8: OHHYE2HO

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/OHHYE2HO75KTQNUJFSQUTELDR3 \
  | 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: 71cf8268eeff553836892ca14991638edc4d8169b9b4cd58d191669f2d4e6fb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59e90c1342836b7f213643fe03b7989caa2f36456ab720d84b538f46f09ad99f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-03-07T15:39:51Z",
    "title_canon_sha256": "a6781e3eaa1d1185da3268a90947043a2d4b0c7737477607c92a499ead7fbf6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02116",
    "kind": "arxiv",
    "version": 3
  }
}