Pith Number

pith:XLKHEHC6

pith:2013:XLKHEHC6DRMLK7P7JNOEX4FXPP

not attested not anchored not stored refs pending

Firm competition in a probabilistic framework of consumer choice

Duanbing Chen, Hao Liao, Matus Medo, Rui Xiao, Yi-Cheng Zhang

arxiv:1312.3826 v1 · 2013-12-13 · q-fin.TR · physics.soc-ph · q-fin.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XLKHEHC6DRMLK7P7JNOEX4FXPP}

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	2026-05-18T02:55:38.200530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bad4721c5e1c58b57dff4b5c4bf0b77bc47d087080fb7ed0b5fa92bda60cadbf

Aliases

arxiv: 1312.3826 · arxiv_version: 1312.3826v1 · doi: 10.48550/arxiv.1312.3826 · pith_short_12: XLKHEHC6DRML · pith_short_16: XLKHEHC6DRMLK7P7 · pith_short_8: XLKHEHC6

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/XLKHEHC6DRMLK7P7JNOEX4FXPP \
  | 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: bad4721c5e1c58b57dff4b5c4bf0b77bc47d087080fb7ed0b5fa92bda60cadbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "217b911b6ad4f5e3bfab2c0020aee4d6a45b5a7192b0480940fd0dd70ff530f2",
    "cross_cats_sorted": [
      "physics.soc-ph",
      "q-fin.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.TR",
    "submitted_at": "2013-12-13T15:01:37Z",
    "title_canon_sha256": "57f21de47f2dd16e7d151761b3447e92979039528c1bf4aa3c427f3043ca8350"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3826",
    "kind": "arxiv",
    "version": 1
  }
}