Pith Number

pith:MUA6VR6W

pith:2009:MUA6VR6WWCUBAMO7Z64ILBODSI

not attested not anchored not stored refs pending

Fluid Models of Many-server Queues with Abandonment

Jiheng Zhang

arxiv:0909.1671 v1 · 2009-09-09 · 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{MUA6VR6WWCUBAMO7Z64ILBODSI}

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	2026-05-18T03:15:07.008787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6501eac7d6b0a81031dfcfb88585c392238471f542d4e3897e005e3f3c4c4771

Aliases

arxiv: 0909.1671 · arxiv_version: 0909.1671v1 · doi: 10.48550/arxiv.0909.1671 · pith_short_12: MUA6VR6WWCUB · pith_short_16: MUA6VR6WWCUBAMO7 · pith_short_8: MUA6VR6W

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/MUA6VR6WWCUBAMO7Z64ILBODSI \
  | 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: 6501eac7d6b0a81031dfcfb88585c392238471f542d4e3897e005e3f3c4c4771

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afcd97f5e1bdb9f667288e7d584be6f4021362f937f608fb590867b1ab68255a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-09-09T15:39:38Z",
    "title_canon_sha256": "00c280fba43f53f22b997e2dc19b2391c330d3771752d836d6dab767eeb2392c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.1671",
    "kind": "arxiv",
    "version": 1
  }
}