Pith Number

pith:QG7EFXZQ

pith:2015:QG7EFXZQIOGA2BK6EAX2SE2WUR

not attested not anchored not stored refs pending

The Magic Wand Theorem of A. Eskin and M. Mirzakhani

Anton Zorich

arxiv:1502.05654 v1 · 2015-02-19 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QG7EFXZQIOGA2BK6EAX2SE2WUR}

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	2026-05-18T02:26:45.906345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81be42df30438c0d055e202fa91356a45b2abc65c559ad3fb27691342b7cdd0f

Aliases

arxiv: 1502.05654 · arxiv_version: 1502.05654v1 · doi: 10.48550/arxiv.1502.05654 · pith_short_12: QG7EFXZQIOGA · pith_short_16: QG7EFXZQIOGA2BK6 · pith_short_8: QG7EFXZQ

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/QG7EFXZQIOGA2BK6EAX2SE2WUR \
  | 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: 81be42df30438c0d055e202fa91356a45b2abc65c559ad3fb27691342b7cdd0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "002dd3739ced70dd3b27bd9f6b85648491233b9fd3115f79dcfbcbd82e177ef7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-02-19T17:59:33Z",
    "title_canon_sha256": "621dba86a171e4ad4069091e3641d9d559b0a8151807a4b843c235d12d0fef90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05654",
    "kind": "arxiv",
    "version": 1
  }
}