Pith Number

pith:WRW4PMLL

pith:2015:WRW4PMLLPNU5OBQEGIVK6AJ7B5

not attested not anchored not stored refs pending

Convex RP^2 Structures and Cubic Differentials under Neck Separation

John Loftin

arxiv:1506.03895 v1 · 2015-06-12 · math.GT · 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{WRW4PMLLPNU5OBQEGIVK6AJ7B5}

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	2026-05-18T01:51:48.980508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b46dc7b16b7b69d70604322aaf013f0f6ac15d71cecc17bdbef92b524119ed7f

Aliases

arxiv: 1506.03895 · arxiv_version: 1506.03895v1 · doi: 10.48550/arxiv.1506.03895 · pith_short_12: WRW4PMLLPNU5 · pith_short_16: WRW4PMLLPNU5OBQE · pith_short_8: WRW4PMLL

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/WRW4PMLLPNU5OBQEGIVK6AJ7B5 \
  | 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: b46dc7b16b7b69d70604322aaf013f0f6ac15d71cecc17bdbef92b524119ed7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cda17f55959801bf3b9a07209cb0b66f16172d26cde117903e91984c44d6d04f",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-06-12T04:24:39Z",
    "title_canon_sha256": "b102e9d8fb2c8cc262bef7f1dee9c0272ec57a64d86d8689aab0c2ed065a3e8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03895",
    "kind": "arxiv",
    "version": 1
  }
}