Pith Number

pith:4235SGAX

pith:2013:4235SGAXJW6JVBR4W53L2UVAYS

not attested not anchored not stored refs pending

Bulging deformations of convex $RP^2$-manifolds

William M. Goldman

arxiv:1302.0777 v1 · 2013-02-04 · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4235SGAXJW6JVBR4W53L2UVAYS}

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	2026-05-18T03:34:36.357664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6b7d918174dbc9a863cb776bd52a0c4a2bf10254a3662fac6a19b33098e819a

Aliases

arxiv: 1302.0777 · arxiv_version: 1302.0777v1 · doi: 10.48550/arxiv.1302.0777 · pith_short_12: 4235SGAXJW6J · pith_short_16: 4235SGAXJW6JVBR4 · pith_short_8: 4235SGAX

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/4235SGAXJW6JVBR4W53L2UVAYS \
  | 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: e6b7d918174dbc9a863cb776bd52a0c4a2bf10254a3662fac6a19b33098e819a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39398fa2d77fb902e1d36d34bc983a8e0408bb47f510ce8e8ed07e875e8050a0",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-02-04T17:57:02Z",
    "title_canon_sha256": "ddaa7d896e4cc6da5e7962d1f746aba82868caefcab578a8b7c2264a914f50b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0777",
    "kind": "arxiv",
    "version": 1
  }
}