Pith Number

pith:VSQZ2XVA

pith:2025:VSQZ2XVAXIQ4OSKGBMQNLHPY5J

not attested not anchored not stored refs pending

Harmonic maps and framed $\mathrm{PSL}_2(\mathbb{C})$-representations

Gobinda Sau, Subhojoy Gupta

arxiv:2508.10335 v1 · 2025-08-14 · 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{VSQZ2XVAXIQ4OSKGBMQNLHPY5J}

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	2026-07-05T11:53:54.181108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aca19d5ea0ba21c749460b20d59df8ea4e45a6f6687645b3272d740565a5a05a

Aliases

arxiv: 2508.10335 · arxiv_version: 2508.10335v1 · doi: 10.48550/arxiv.2508.10335 · pith_short_12: VSQZ2XVAXIQ4 · pith_short_16: VSQZ2XVAXIQ4OSKG · pith_short_8: VSQZ2XVA

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/VSQZ2XVAXIQ4OSKGBMQNLHPY5J \
  | 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: aca19d5ea0ba21c749460b20d59df8ea4e45a6f6687645b3272d740565a5a05a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc2b0a391e184134cf897187a422cade96e31cd4e8eba2c926ab273a2e303111",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-08-14T04:29:41Z",
    "title_canon_sha256": "7949e7f2b670b54ac3152c887ef28468fa7450ce60e6ac12334fb3c8dcdd21c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.10335",
    "kind": "arxiv",
    "version": 1
  }
}