Pith Number

pith:GUS7Y3JP

pith:2025:GUS7Y3JPCCW7VCYPLNZJQZPFXI

not attested not anchored not stored refs pending

Complex harmonic maps and rank 2 higher Teichm\"uller theory

Christian El Emam, Nathaniel Sagman

arxiv:2506.11746 v1 · 2025-06-13 · math.DG · math.CV · math.GT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GUS7Y3JPCCW7VCYPLNZJQZPFXI}

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	2026-07-05T11:21:10.150269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3525fc6d2f10adfa8b0f5b729865e5ba2abbe6474b61da848f7cdd06857820b0

Aliases

arxiv: 2506.11746 · arxiv_version: 2506.11746v1 · doi: 10.48550/arxiv.2506.11746 · pith_short_12: GUS7Y3JPCCW7 · pith_short_16: GUS7Y3JPCCW7VCYP · pith_short_8: GUS7Y3JP

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/GUS7Y3JPCCW7VCYPLNZJQZPFXI \
  | 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: 3525fc6d2f10adfa8b0f5b729865e5ba2abbe6474b61da848f7cdd06857820b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc4f9780e2fe4a05fee55674c7c745b17ee67481099ce6e514048d0f67194402",
    "cross_cats_sorted": [
      "math.CV",
      "math.GT",
      "math.RT"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-06-13T13:00:34Z",
    "title_canon_sha256": "da7b9249eb83d99480a88730bd605a025103a97c3805ca4845a2ce7c9f933ea5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.11746",
    "kind": "arxiv",
    "version": 1
  }
}