Pith Number

pith:UB6KTBAI

pith:2019:UB6KTBAIGJVZ2DRPQSJNUYVFVR

not attested not anchored not stored refs pending

Holomorphic quadratic differentials in Teichm\"uller theory

Subhojoy Gupta

arxiv:1902.06406 v1 · 2019-02-18 · math.GT · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UB6KTBAIGJVZ2DRPQSJNUYVFVR}

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	2026-05-17T23:53:45.605293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a07ca98408326b9d0e2f8492da62a5ac6dfa31140681add9cca5566a4fcaaaee

Aliases

arxiv: 1902.06406 · arxiv_version: 1902.06406v1 · doi: 10.48550/arxiv.1902.06406 · pith_short_12: UB6KTBAIGJVZ · pith_short_16: UB6KTBAIGJVZ2DRP · pith_short_8: UB6KTBAI

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/UB6KTBAIGJVZ2DRPQSJNUYVFVR \
  | 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: a07ca98408326b9d0e2f8492da62a5ac6dfa31140681add9cca5566a4fcaaaee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c825a9d3cf44512c792309fa6e95d15e96a50a015c140514aa9ad9db89ba824d",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-02-18T05:24:40Z",
    "title_canon_sha256": "f3c055f3e41b307c5d3e04535f1a4e507c1aeabd94b2b329f5a0c51fb0f9867e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.06406",
    "kind": "arxiv",
    "version": 1
  }
}