Pith Number

pith:VBUULFYG

pith:2017:VBUULFYGPQT5ZJILWA3PHCWXKV

not attested not anchored not stored refs pending

Teichm\"uller theory and collapse of flat manifolds

Andrzej Derdzinski, Paolo Piccione, Renato G. Bettiol

arxiv:1705.08431 v1 · 2017-05-23 · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VBUULFYGPQT5ZJILWA3PHCWXKV}

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	2026-05-17T23:53:12.052213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8694597067c27dca50bb036f38ad7556b34f27a0015b87b7dd259bfc493793f

Aliases

arxiv: 1705.08431 · arxiv_version: 1705.08431v1 · doi: 10.48550/arxiv.1705.08431 · pith_short_12: VBUULFYGPQT5 · pith_short_16: VBUULFYGPQT5ZJIL · pith_short_8: VBUULFYG

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/VBUULFYGPQT5ZJILWA3PHCWXKV \
  | 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: a8694597067c27dca50bb036f38ad7556b34f27a0015b87b7dd259bfc493793f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a90278b06d886d795d869ccab9a7bfcee18a171840f35060c8371060d4d0968",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-05-23T17:39:57Z",
    "title_canon_sha256": "c954f88068c25fa833cafcdea5a2b18e3946ff33eb30a481f1c61baf7f13efb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.08431",
    "kind": "arxiv",
    "version": 1
  }
}