Pith Number

pith:HAOMQ7N3

pith:2016:HAOMQ7N3RKKGEU4UR5DIKYZBP3

not attested not anchored not stored refs pending

On the existence of shadow prices for optimal investment with random endowment

Junjian Yang, Lingqi Gu, Yiqing Lin

arxiv:1602.01109 v2 · 2016-02-02 · q-fin.PM · math.OC · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HAOMQ7N3RKKGEU4UR5DIKYZBP3}

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	2026-05-18T00:50:09.787580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

381cc87dbb8a946253948f468563217eda4348389ffcbb78f2d47cb2553ec346

Aliases

arxiv: 1602.01109 · arxiv_version: 1602.01109v2 · doi: 10.48550/arxiv.1602.01109 · pith_short_12: HAOMQ7N3RKKG · pith_short_16: HAOMQ7N3RKKGEU4U · pith_short_8: HAOMQ7N3

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/HAOMQ7N3RKKGEU4UR5DIKYZBP3 \
  | 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: 381cc87dbb8a946253948f468563217eda4348389ffcbb78f2d47cb2553ec346

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54e42b52c9eaec89db7e396265067d858ff3eca2e5c528ddb9c67ef3004ddf20",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2016-02-02T21:03:02Z",
    "title_canon_sha256": "1a3f66b92eef4b48eb93d1e4d78ceaa83cca67e6b6dfc0941ad9780a44dd173e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.01109",
    "kind": "arxiv",
    "version": 2
  }
}