Pith Number

pith:KQNQVPPX

pith:2015:KQNQVPPX6VLLXUHVHDQ2FWIW3J

not attested not anchored not stored refs pending

Visual sphere and Thurston's boundary of the Universal Teichm\"uller space

Dragomir Saric, Hrant Hakobyan

arxiv:1505.07745 v1 · 2015-05-28 · 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{KQNQVPPX6VLLXUHVHDQ2FWIW3J}

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	2026-05-18T02:00:55.945062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

541b0abdf7f556bbd0f538e1a2d916da614c6c282d241af95fcdcbad39e1b857

Aliases

arxiv: 1505.07745 · arxiv_version: 1505.07745v1 · doi: 10.48550/arxiv.1505.07745 · pith_short_12: KQNQVPPX6VLL · pith_short_16: KQNQVPPX6VLLXUHV · pith_short_8: KQNQVPPX

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/KQNQVPPX6VLLXUHVHDQ2FWIW3J \
  | 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: 541b0abdf7f556bbd0f538e1a2d916da614c6c282d241af95fcdcbad39e1b857

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4440d8e93e935d244ad7b3a8bff14abeac8760c08a91417bfd06a2ad619e5162",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-05-28T16:31:00Z",
    "title_canon_sha256": "163d6e99e2b1419277bb33189e1e5cac45d41705d7dcc4258ad1199de35e1194"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07745",
    "kind": "arxiv",
    "version": 1
  }
}