Pith Number

pith:UGSX7D7D

pith:2015:UGSX7D7DXHMO72SGBHSS763TIU

not attested not anchored not stored refs pending

On the existence of finite critical trajectories in a family of quadratic differentials

Faouzi Thabet

arxiv:1509.04965 v2 · 2015-09-16 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UGSX7D7DXHMO72SGBHSS763TIU}

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	2026-05-17T23:53:13.618451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1a57f8fe3b9d8efea4609e52ffb73451428b19897c309886c186f074b010334

Aliases

arxiv: 1509.04965 · arxiv_version: 1509.04965v2 · doi: 10.48550/arxiv.1509.04965 · pith_short_12: UGSX7D7DXHMO · pith_short_16: UGSX7D7DXHMO72SG · pith_short_8: UGSX7D7D

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/UGSX7D7DXHMO72SGBHSS763TIU \
  | 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: a1a57f8fe3b9d8efea4609e52ffb73451428b19897c309886c186f074b010334

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b0068b6704471b5e2712d7063e3e1fbd22ba6c6163d35d055dd4a82776f9cb8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-09-16T16:16:48Z",
    "title_canon_sha256": "629b42d8fa96e78bd876ef854ccf4f4e6b8988fc88cb25ed0a415e58aeea8a46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04965",
    "kind": "arxiv",
    "version": 2
  }
}