Pith Number

pith:GMRBGVYW

pith:2008:GMRBGVYWGYIBVUDTK3TYWWYAK5

not attested not anchored not stored refs pending

On the long time behavior of the TCP window size process

Djalil Chafai (LAMA), Florent Malrieu (IRMAR), INRIA - IRISA), Katy Paroux (LM-Besan\c{c}on

arxiv:0811.2180 v3 · 2008-11-13 · math.PR · cs.NI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GMRBGVYWGYIBVUDTK3TYWWYAK5}

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	2026-05-18T04:36:51.436753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

332213571636101ad07356e78b5b00576cd2fb04e13621cb2903dc1ad88f3388

Aliases

arxiv: 0811.2180 · arxiv_version: 0811.2180v3 · doi: 10.48550/arxiv.0811.2180 · pith_short_12: GMRBGVYWGYIB · pith_short_16: GMRBGVYWGYIBVUDT · pith_short_8: GMRBGVYW

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/GMRBGVYWGYIBVUDTK3TYWWYAK5 \
  | 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: 332213571636101ad07356e78b5b00576cd2fb04e13621cb2903dc1ad88f3388

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b58b30335799eae76aaa671c84e144c7aae07eb26e2ed051f0d746fcc6631031",
    "cross_cats_sorted": [
      "cs.NI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-11-13T20:10:38Z",
    "title_canon_sha256": "1e0ba9ffc1452ea4e6907097ac66c18a1049106d90c79bd05d177313f573c05e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.2180",
    "kind": "arxiv",
    "version": 3
  }
}