Pith Number

pith:6L5JFUTI

pith:2012:6L5JFUTIDNOP5MBTFMWPVAFUZ6

not attested not anchored not stored refs pending

Approximating the Weil-Petersson Metric Geodesics on the Universal Teichm\"uller space by Singular Solutions

Akil Narayan, Sergey Kushnarev

arxiv:1208.2022 v2 · 2012-08-09 · math.CV · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6L5JFUTIDNOP5MBTFMWPVAFUZ6}

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	2026-05-18T03:42:44.043467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2fa92d2681b5cfeb0332b2cfa80b4cf9711c28733ff775ea3d7e95950b403aa

Aliases

arxiv: 1208.2022 · arxiv_version: 1208.2022v2 · doi: 10.48550/arxiv.1208.2022 · pith_short_12: 6L5JFUTIDNOP · pith_short_16: 6L5JFUTIDNOP5MBT · pith_short_8: 6L5JFUTI

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/6L5JFUTIDNOP5MBTFMWPVAFUZ6 \
  | 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: f2fa92d2681b5cfeb0332b2cfa80b4cf9711c28733ff775ea3d7e95950b403aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ba585c7c9a0beea4a632bf78d071921675b084a0b56a7a478f60f734ab01b0e",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-08-09T19:47:40Z",
    "title_canon_sha256": "332953b8f4a441831dce035c98b6ed665eaab1f3155d4354dd0cf70f317fc1ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2022",
    "kind": "arxiv",
    "version": 2
  }
}