Pith Number

pith:MHKZZRY5

pith:2016:MHKZZRY5DQKIFMQTECARMPTJFP

not attested not anchored not stored refs pending

Complex hyperbolic volume and intersection of boundary divisors in moduli spaces of genus zero curves

Duc-Manh Nguyen, Vincent Koziarz

arxiv:1601.05252 v2 · 2016-01-20 · math.AG · 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{MHKZZRY5DQKIFMQTECARMPTJFP}

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	2026-05-18T01:12:12.425960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61d59cc71d1c1482b2132081163e692bcb43fc342fe4619f5630b8ca699bc3b0

Aliases

arxiv: 1601.05252 · arxiv_version: 1601.05252v2 · doi: 10.48550/arxiv.1601.05252 · pith_short_12: MHKZZRY5DQKI · pith_short_16: MHKZZRY5DQKIFMQT · pith_short_8: MHKZZRY5

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/MHKZZRY5DQKIFMQTECARMPTJFP \
  | 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: 61d59cc71d1c1482b2132081163e692bcb43fc342fe4619f5630b8ca699bc3b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ac2aad8887d3caffc19f6602b59e8f0278598d21356107731be7ef5de496951",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-01-20T12:26:28Z",
    "title_canon_sha256": "a05a861bdc9a610646593f7bd19b4e0524563b3ce062df28af178a6f239b8b10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05252",
    "kind": "arxiv",
    "version": 2
  }
}