Pith Number

pith:PZ3TUN42

pith:2014:PZ3TUN42TLA7WSZ526IW6XPMUD

not attested not anchored not stored refs pending

Applications of the affine structures on the Teichm\"uller spaces

Kefeng Liu, Xiaojing Chen, Yang Shen

arxiv:1402.5570 v4 · 2014-02-23 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PZ3TUN42TLA7WSZ526IW6XPMUD}

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	2026-05-18T01:14:29.746377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e773a379a9ac1fb4b3dd7916f5deca0f994d5def2f35037e38f85c61d0e61e0

Aliases

arxiv: 1402.5570 · arxiv_version: 1402.5570v4 · doi: 10.48550/arxiv.1402.5570 · pith_short_12: PZ3TUN42TLA7 · pith_short_16: PZ3TUN42TLA7WSZ5 · pith_short_8: PZ3TUN42

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/PZ3TUN42TLA7WSZ526IW6XPMUD \
  | 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: 7e773a379a9ac1fb4b3dd7916f5deca0f994d5def2f35037e38f85c61d0e61e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d213e8c43c3525129593d4864ab5d103a21cd622cad89924d91bd5fc228f9954",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-02-23T01:51:09Z",
    "title_canon_sha256": "bba108e3ef55b657ef524f1445172165bf9e69096e4a7750b33fd948392413f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.5570",
    "kind": "arxiv",
    "version": 4
  }
}