Pith Number

pith:U72Z5WLV

pith:2018:U72Z5WLVUN4VNJ7ZRSZRPSCCAD

not attested not anchored not stored refs pending

Limits of harmonic maps and crowned hyperbolic surfaces

Subhojoy Gupta

arxiv:1805.03921 v1 · 2018-05-10 · 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{U72Z5WLVUN4VNJ7ZRSZRPSCCAD}

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	2026-05-18T00:16:15.755816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7f59ed975a37956a7f98cb317c84200e7a4355d885ce4d182472ac2a4c2e0a8

Aliases

arxiv: 1805.03921 · arxiv_version: 1805.03921v1 · doi: 10.48550/arxiv.1805.03921 · pith_short_12: U72Z5WLVUN4V · pith_short_16: U72Z5WLVUN4VNJ7Z · pith_short_8: U72Z5WLV

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/U72Z5WLVUN4VNJ7ZRSZRPSCCAD \
  | 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: a7f59ed975a37956a7f98cb317c84200e7a4355d885ce4d182472ac2a4c2e0a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "696410d3980dc12da6026017645fbadbaee214c33acb6fda3c6f69e12c3c002b",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-05-10T10:32:41Z",
    "title_canon_sha256": "cc4a40e8349f749cc35768e8d9ee5bf39cd9fc54b832d8d68b59d9f3e7513711"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.03921",
    "kind": "arxiv",
    "version": 1
  }
}