Pith Number

pith:Y4YVY32Y

pith:2015:Y4YVY32YD7QV6K6DWDWIMEG5DK

not attested not anchored not stored refs pending

Braess like Paradox on Ladder Network

Fumiho Ogura, Norihito Toyota

arxiv:1501.02097 v1 · 2015-01-09 · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y4YVY32YD7QV6K6DWDWIMEG5DK}

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	2026-05-18T02:29:44.857094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7315c6f581fe15f2bc3b0ec8610dd1ab40e6c7b952584bd6d87e97499b06902

Aliases

arxiv: 1501.02097 · arxiv_version: 1501.02097v1 · doi: 10.48550/arxiv.1501.02097 · pith_short_12: Y4YVY32YD7QV · pith_short_16: Y4YVY32YD7QV6K6D · pith_short_8: Y4YVY32Y

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/Y4YVY32YD7QV6K6DWDWIMEG5DK \
  | 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: c7315c6f581fe15f2bc3b0ec8610dd1ab40e6c7b952584bd6d87e97499b06902

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9289b290f4ecf7e29faf8ffc18035564122d782b86c2d92fca2926ad9099cd9e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2015-01-09T10:41:30Z",
    "title_canon_sha256": "c374bccfefb4fe81e5926b09239514e1d2e20eeb72b066406765952abc7f5122"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02097",
    "kind": "arxiv",
    "version": 1
  }
}