Pith Number

pith:72UODKV5

pith:2011:72UODKV5TAQFVGVIF2SUJLVRGL

not attested not anchored not stored refs pending

The Successive Approximation Approach for NUM Frameworks with Elastic and Inelastic Traffic

Choong Seon Hong, Nguyen H. Tran, Phuong L. Vo

arxiv:1108.3732 v2 · 2011-08-18 · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{72UODKV5TAQFVGVIF2SUJLVRGL}

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	2026-05-18T03:57:53.366276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fea8e1aabd98205a9aa82ea544aeb132fd1464af9a461b242e32271ad2396140

Aliases

arxiv: 1108.3732 · arxiv_version: 1108.3732v2 · doi: 10.48550/arxiv.1108.3732 · pith_short_12: 72UODKV5TAQF · pith_short_16: 72UODKV5TAQFVGVI · pith_short_8: 72UODKV5

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/72UODKV5TAQFVGVIF2SUJLVRGL \
  | 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: fea8e1aabd98205a9aa82ea544aeb132fd1464af9a461b242e32271ad2396140

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9b0a0fe0fd1673a376466d7e339a805e1df078fd55408af3d51a6d1a0aba62a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2011-08-18T12:12:17Z",
    "title_canon_sha256": "97aaf97091bf0716464091f80ae8cfb4e41a71a1ebfe81fec6c48d159c1b25dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3732",
    "kind": "arxiv",
    "version": 2
  }
}