Pith Number

pith:ZNDHNJV7

pith:2018:ZNDHNJV7AW2F3QJQ7IXZQX7IMQ

not attested not anchored not stored refs pending

Length spectra of flat metrics coming from q-differentials

Marissa Loving

arxiv:1810.01793 v2 · 2018-10-03 · 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{ZNDHNJV7AW2F3QJQ7IXZQX7IMQ}

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	2026-05-18T00:00:39.204092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb4676a6bf05b45dc130fa2f985fe864357b53d8504c857bcae361387cc424da

Aliases

arxiv: 1810.01793 · arxiv_version: 1810.01793v2 · doi: 10.48550/arxiv.1810.01793 · pith_short_12: ZNDHNJV7AW2F · pith_short_16: ZNDHNJV7AW2F3QJQ · pith_short_8: ZNDHNJV7

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/ZNDHNJV7AW2F3QJQ7IXZQX7IMQ \
  | 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: cb4676a6bf05b45dc130fa2f985fe864357b53d8504c857bcae361387cc424da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "678d80f2ecf75c5282c113860d582bef3208e8ca3ac94a7efeb093da376f1f2c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-10-03T15:30:18Z",
    "title_canon_sha256": "f20ae4223f7e22d49511a874c1d8c9f8ce16a2a775bab0a30fbfa7417c3d733d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.01793",
    "kind": "arxiv",
    "version": 2
  }
}