Pith Number

pith:3BQNF3DY

pith:2013:3BQNF3DYQQE2ZHYUPPELET3H3O

not attested not anchored not stored refs pending

Teichm\"uller Space Is Totally Geodesic In Goldman Space

Qiongling Li

arxiv:1301.1442 v2 · 2013-01-08 · 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{3BQNF3DYQQE2ZHYUPPELET3H3O}

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	2026-05-18T03:36:56.157377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d860d2ec788409ac9f147bc8b24f67db9891e2a894d7295b95a5a89311596c6d

Aliases

arxiv: 1301.1442 · arxiv_version: 1301.1442v2 · doi: 10.48550/arxiv.1301.1442 · pith_short_12: 3BQNF3DYQQE2 · pith_short_16: 3BQNF3DYQQE2ZHYU · pith_short_8: 3BQNF3DY

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/3BQNF3DYQQE2ZHYUPPELET3H3O \
  | 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: d860d2ec788409ac9f147bc8b24f67db9891e2a894d7295b95a5a89311596c6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad47a9daa08abd21dd3fa1565056fe4125a1449ed36655bd7112cf2b8231f4e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-01-08T08:35:33Z",
    "title_canon_sha256": "90508b6c332bfb1368970a92d7a01251f4a7ce9b63d0043850413eeec4d17be2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1442",
    "kind": "arxiv",
    "version": 2
  }
}