Pith Number

pith:PTQEUJS3

pith:2012:PTQEUJS3CGS25BEGHU56EHNSV6

not attested not anchored not stored refs pending

Quantile Mechanics 3: Series Representations and Approximation of some Quantile Functions appearing in Finance

Asad Munir, William Shaw

arxiv:1203.5729 v2 · 2012-03-26 · q-fin.CP · 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{PTQEUJS3CGS25BEGHU56EHNSV6}

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	2026-05-18T03:58:50.680321Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ce04a265b11a5ae84863d3be21db2af81d8cbf1c3b29e226005679347e18784

Aliases

arxiv: 1203.5729 · arxiv_version: 1203.5729v2 · doi: 10.48550/arxiv.1203.5729 · pith_short_12: PTQEUJS3CGS2 · pith_short_16: PTQEUJS3CGS25BEG · pith_short_8: PTQEUJS3

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/PTQEUJS3CGS25BEGHU56EHNSV6 \
  | 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: 7ce04a265b11a5ae84863d3be21db2af81d8cbf1c3b29e226005679347e18784

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93e9af791a5b8b08cc6ae116422a65974cce96acbf5639c6dfbade3ffbbbe3ed",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.CP",
    "submitted_at": "2012-03-26T16:50:51Z",
    "title_canon_sha256": "8632634d0b10c2d99f3275138f58e6c1df0dbde9edc4bfe8ff8b0bdf0cdb435e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5729",
    "kind": "arxiv",
    "version": 2
  }
}