Pith Number

pith:PMMZM3IP

pith:2004:PMMZM3IPZQFLMM64NWVWXMJDBS

not attested not anchored not stored refs pending

Exact asymptotics for fluid queues fed by multiple heavy-tailed on-off flows

Bert Zwart, Michel Mandjes, Sem Borst

arxiv:math/0406178 v1 · 2004-06-09 · 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{PMMZM3IPZQFLMM64NWVWXMJDBS}

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	2026-05-18T01:05:26.309080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b19966d0fcc0ab633dc6dab6bb1230c87331545d96d015978ca27e93e74514e

Aliases

arxiv: math/0406178 · arxiv_version: math/0406178v1 · doi: 10.48550/arxiv.math/0406178 · pith_short_12: PMMZM3IPZQFL · pith_short_16: PMMZM3IPZQFLMM64 · pith_short_8: PMMZM3IP

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/PMMZM3IPZQFLMM64NWVWXMJDBS \
  | 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: 7b19966d0fcc0ab633dc6dab6bb1230c87331545d96d015978ca27e93e74514e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21e406758cf5af61d0a7f4c67eb61b1f7d081ad49ed9e2444e195cba41612fd0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2004-06-09T12:24:41Z",
    "title_canon_sha256": "2a688f33ea81587e7469dd485d9ea4e56f416700402d1bb596729c7a51f46193"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0406178",
    "kind": "arxiv",
    "version": 1
  }
}