Pith Number

pith:CZ6TARX3

pith:2013:CZ6TARX3CT6S2OGYQNTJIHOLEJ

not attested not anchored not stored refs pending

A one-dimensional diffusion model for overloaded queues with customer abandonment

Shuangchi He

arxiv:1312.4244 v1 · 2013-12-16 · 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{CZ6TARX3CT6S2OGYQNTJIHOLEJ}

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	2026-05-18T03:04:35.149818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

167d3046fb14fd2d38d88366941dcb224896e3cbe2bbe7f409edcb4b69263b14

Aliases

arxiv: 1312.4244 · arxiv_version: 1312.4244v1 · doi: 10.48550/arxiv.1312.4244 · pith_short_12: CZ6TARX3CT6S · pith_short_16: CZ6TARX3CT6S2OGY · pith_short_8: CZ6TARX3

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/CZ6TARX3CT6S2OGYQNTJIHOLEJ \
  | 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: 167d3046fb14fd2d38d88366941dcb224896e3cbe2bbe7f409edcb4b69263b14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e827e1ef247affea12e97532593d7f875a6273d89af8d753be23b842598bdeed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-12-16T04:11:04Z",
    "title_canon_sha256": "83cdda7bae62b5aceaed5a0fee785119c42c579bfd92b77bb2a0d3367a7d7258"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4244",
    "kind": "arxiv",
    "version": 1
  }
}