Pith Number

pith:5UFKLY5A

pith:2015:5UFKLY5AMEQWW74LURSUPDNSE5

not attested not anchored not stored refs pending

On metrics defined by length spectra on Teichmuller spaces of surfaces with boundary

Lixin Liu, Weixu Su, Youliang Zhong

arxiv:1501.00858 v1 · 2015-01-05 · 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{5UFKLY5AMEQWW74LURSUPDNSE5}

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	2026-05-18T02:30:01.689438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed0aa5e3a061216b7f8ba465478db2275129552c8f0ff045730495094f53d5a1

Aliases

arxiv: 1501.00858 · arxiv_version: 1501.00858v1 · doi: 10.48550/arxiv.1501.00858 · pith_short_12: 5UFKLY5AMEQW · pith_short_16: 5UFKLY5AMEQWW74L · pith_short_8: 5UFKLY5A

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/5UFKLY5AMEQWW74LURSUPDNSE5 \
  | 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: ed0aa5e3a061216b7f8ba465478db2275129552c8f0ff045730495094f53d5a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "294b9e02026a329aa8761e4ae043a46c102547ed7275d6a9064b1ebacc5eb0a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-01-05T13:39:05Z",
    "title_canon_sha256": "96741d34a76044b16ab15da59e2ed053155e2c794df8cac5a40aa35793d09f3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00858",
    "kind": "arxiv",
    "version": 1
  }
}