Pith Number

pith:MQQJNYT4

pith:2024:MQQJNYT4MC5ZVAQLHQ47FDCCYV

not attested not anchored not stored refs pending

On harmonic maps from the complex plane to hyperbolic 3-space

Gobinda Sau, Subhojoy Gupta

arxiv:2404.06354 v2 · 2024-04-09 · 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{MQQJNYT4MC5ZVAQLHQ47FDCCYV}

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	2026-07-05T08:42:35.030243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

642096e27c60bb9a820b3c39f28c42c55d09f338e60aeb07a11f3fef7fe7ffc5

Aliases

arxiv: 2404.06354 · arxiv_version: 2404.06354v2 · doi: 10.48550/arxiv.2404.06354 · pith_short_12: MQQJNYT4MC5Z · pith_short_16: MQQJNYT4MC5ZVAQL · pith_short_8: MQQJNYT4

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/MQQJNYT4MC5ZVAQLHQ47FDCCYV \
  | 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: 642096e27c60bb9a820b3c39f28c42c55d09f338e60aeb07a11f3fef7fe7ffc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "681e4028505b2763ea49f572d7b1182cce8e3b6cff74e60288ca4e406e4982c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-04-09T14:44:58Z",
    "title_canon_sha256": "1b4415c29990863d9aa5e6d8f39fa008eac871d313d2b5bc000672b597f6a3f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.06354",
    "kind": "arxiv",
    "version": 2
  }
}