Pith Number

pith:PXHX4QP4

pith:2017:PXHX4QP4CDHURDJ7YM25XT2LJQ

not attested not anchored not stored refs pending

Eigenvalues of the Thurston operator

Adam L. Epstein, Sarah Koch, Xavier Buff

arxiv:1707.01990 v1 · 2017-07-06 · 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{PXHX4QP4CDHURDJ7YM25XT2LJQ}

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	2026-05-18T00:40:45.610702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dcf7e41fc10cf488d3fc335dbcf4b4c3887f6d388c9ec9edf762ca1e67b2728

Aliases

arxiv: 1707.01990 · arxiv_version: 1707.01990v1 · doi: 10.48550/arxiv.1707.01990 · pith_short_12: PXHX4QP4CDHU · pith_short_16: PXHX4QP4CDHURDJ7 · pith_short_8: PXHX4QP4

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/PXHX4QP4CDHURDJ7YM25XT2LJQ \
  | 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: 7dcf7e41fc10cf488d3fc335dbcf4b4c3887f6d388c9ec9edf762ca1e67b2728

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39e9f25cd1f2ef1d8a973b90b43ae072fda061056f61bfb558cae6362d7f9100",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-07-06T22:57:28Z",
    "title_canon_sha256": "07b5cd64f3fd5e8602a16f1eb85d44edd4a8c0330826125a597f2bf91f0c2495"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.01990",
    "kind": "arxiv",
    "version": 1
  }
}