Pith Number

pith:F4ULFAIV

pith:2010:F4ULFAIVA2AWTQI4XFEUOHFQ7D

not attested not anchored not stored refs pending

A Theory of Network Equivalence, Parts I and II

Michelle Effros, Muriel Medard, Ralf Koetter

arxiv:1007.1033 v2 · 2010-07-07 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F4ULFAIVA2AWTQI4XFEUOHFQ7D}

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	2026-05-18T04:41:26.030228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f28b28115068169c11cb949471cb0f8ff71313f364a15af5a9d25f91e6128c8

Aliases

arxiv: 1007.1033 · arxiv_version: 1007.1033v2 · doi: 10.48550/arxiv.1007.1033 · pith_short_12: F4ULFAIVA2AW · pith_short_16: F4ULFAIVA2AWTQI4 · pith_short_8: F4ULFAIV

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/F4ULFAIVA2AWTQI4XFEUOHFQ7D \
  | 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: 2f28b28115068169c11cb949471cb0f8ff71313f364a15af5a9d25f91e6128c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa5420d5e285a92d02d00ae6bfd4ad026671d28c274f8abefb18e0c47db3a0a7",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-07-07T01:35:17Z",
    "title_canon_sha256": "44102c6aeda56288b49c0866415bafcce3e1ec7d46f0c7186b904116ae5a6d80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.1033",
    "kind": "arxiv",
    "version": 2
  }
}