Pith Number

pith:KHRDQIXV

pith:2014:KHRDQIXVNRZG3APGRISTB7HJB3

not attested not anchored not stored refs pending

Asymptotics of a class of Weil-Petersson geodesics and divergence of Weil-Petersson geodesics

Babak Modami

arxiv:1401.3234 v4 · 2014-01-14 · math.DS · math.DG · 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{KHRDQIXVNRZG3APGRISTB7HJB3}

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	2026-05-18T01:19:30.970786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51e23822f56c726d81e68a2530fce90ef6cdf8087fbab027f6abd3c6bf232aa6

Aliases

arxiv: 1401.3234 · arxiv_version: 1401.3234v4 · doi: 10.48550/arxiv.1401.3234 · pith_short_12: KHRDQIXVNRZG · pith_short_16: KHRDQIXVNRZG3APG · pith_short_8: KHRDQIXV

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/KHRDQIXVNRZG3APGRISTB7HJB3 \
  | 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: 51e23822f56c726d81e68a2530fce90ef6cdf8087fbab027f6abd3c6bf232aa6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e648fbd0f44b96dcc554d2b081215bd48a93a08d9311c1fca6538aa2f0e353d2",
    "cross_cats_sorted": [
      "math.DG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-01-14T16:00:44Z",
    "title_canon_sha256": "519b0f5b91e56b619ff2d696fcf7f0f7ffff2dd1fb1754e4d0c268012e284a25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.3234",
    "kind": "arxiv",
    "version": 4
  }
}