Pith Number

pith:2TZWE5GS

pith:2025:2TZWE5GSAA4APKXBI7AVV3CNQX

not attested not anchored not stored refs pending

Behaviour of the Schwarzian derivative on long complex projective tubes

Tommaso Cremaschi, Viola Giovannini

arxiv:2502.10071 v1 · 2025-02-14 · 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{2TZWE5GSAA4APKXBI7AVV3CNQX}

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	2026-07-05T10:14:16.795155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4f36274d2003807aae147c15aec4d85c069336110e78cb32a0bf5140ee9f55f

Aliases

arxiv: 2502.10071 · arxiv_version: 2502.10071v1 · doi: 10.48550/arxiv.2502.10071 · pith_short_12: 2TZWE5GSAA4A · pith_short_16: 2TZWE5GSAA4APKXB · pith_short_8: 2TZWE5GS

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/2TZWE5GSAA4APKXBI7AVV3CNQX \
  | 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: d4f36274d2003807aae147c15aec4d85c069336110e78cb32a0bf5140ee9f55f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86c7cf89069cee66efbec75fc135da8c5846e9495ec5d2a91a26d1852f7cbe7f",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-02-14T10:46:46Z",
    "title_canon_sha256": "bb257133aecec76df7e6a0ab7700f2163340d2080ceb917caf4af3e75b643edf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.10071",
    "kind": "arxiv",
    "version": 1
  }
}