Pith Number

pith:SA5GMBRE

pith:2015:SA5GMBREBLY3OM4ICQBQ3GX5YD

not attested not anchored not stored refs pending

Asymptotic behavior of the node degrees in the ensemble average of adjacency matrix

Yukio Hayashi

arxiv:1512.00553 v1 · 2015-12-02 · physics.soc-ph · cs.SI · nlin.AO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SA5GMBREBLY3OM4ICQBQ3GX5YD}

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	2026-05-18T01:06:29.014454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

903a6606240af1b7338814030d9afdc0d7cb5007d7e3442104db01b474baae2e

Aliases

arxiv: 1512.00553 · arxiv_version: 1512.00553v1 · doi: 10.48550/arxiv.1512.00553 · pith_short_12: SA5GMBREBLY3 · pith_short_16: SA5GMBREBLY3OM4I · pith_short_8: SA5GMBRE

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/SA5GMBREBLY3OM4ICQBQ3GX5YD \
  | 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: 903a6606240af1b7338814030d9afdc0d7cb5007d7e3442104db01b474baae2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc367f053eb9473c7fc882a39fceb3a65faeb2af53aac6f3c848dd46013337cf",
    "cross_cats_sorted": [
      "cs.SI",
      "nlin.AO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2015-12-02T03:11:52Z",
    "title_canon_sha256": "a655cf9ac128b0f3f59210194dc639093292aea469db1caa1a51255999c22bff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00553",
    "kind": "arxiv",
    "version": 1
  }
}