Pith Number

pith:H7EPTLZD

pith:2023:H7EPTLZDT7ZCH5PTWSHOU4HZ5T

not attested not anchored not stored refs pending

Computing the twisted $L^2$-Euler characteristic

Jacopo G. Chen

arxiv:2310.07024 v3 · 2023-10-10 · 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{H7EPTLZDT7ZCH5PTWSHOU4HZ5T}

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.

Cited by

1 paper in Pith

The Thurston norm of graph manifolds

Receipt and verification

First computed	2026-07-05T10:27:05.459331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fc8f9af239ff223f5f3b48eea70f9ecd15c3d9c519e7a55a9b4ad05c0f05d36

Aliases

arxiv: 2310.07024 · arxiv_version: 2310.07024v3 · doi: 10.48550/arxiv.2310.07024 · pith_short_12: H7EPTLZDT7ZC · pith_short_16: H7EPTLZDT7ZCH5PT · pith_short_8: H7EPTLZD

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/H7EPTLZDT7ZCH5PTWSHOU4HZ5T \
  | 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: 3fc8f9af239ff223f5f3b48eea70f9ecd15c3d9c519e7a55a9b4ad05c0f05d36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fc4ce74ad7ba84eba047841e2d42e7e01a8b3599313b10c692b5b17081eb696",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2023-10-10T21:24:19Z",
    "title_canon_sha256": "0cfba95371f30312f39c1bb5d3f5c8faaeac3f0a5dc29b8da7806353ffa7b518"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.07024",
    "kind": "arxiv",
    "version": 3
  }
}