Pith Number

pith:U2T6ATNE

pith:2014:U2T6ATNEDP3H56L3DP4TZ4HWT4

not attested not anchored not stored refs pending

Navigable Networks as Nash Equilibria of Navigation Games

Andr\'as Guly\'as, Attila K\H{o}r\"osi, Dmitri Krioukov, G\'abor R\'etv\'ari, J\'ozsef B\'ir\'o

arxiv:1412.7229 v3 · 2014-12-23 · physics.soc-ph · cs.GT · cs.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U2T6ATNEDP3H56L3DP4TZ4HWT4}

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	2026-05-18T01:36:25.779980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6a7e04da41bf67ef97b1bf93cf0f69f223117575c70d079087219ca7275a159

Aliases

arxiv: 1412.7229 · arxiv_version: 1412.7229v3 · doi: 10.48550/arxiv.1412.7229 · pith_short_12: U2T6ATNEDP3H · pith_short_16: U2T6ATNEDP3H56L3 · pith_short_8: U2T6ATNE

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/U2T6ATNEDP3H56L3DP4TZ4HWT4 \
  | 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: a6a7e04da41bf67ef97b1bf93cf0f69f223117575c70d079087219ca7275a159

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9830b40d278bf0c74ee07a67e79e44b581da746da996deb9d443d701420d2507",
    "cross_cats_sorted": [
      "cs.GT",
      "cs.SI"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2014-12-23T01:21:39Z",
    "title_canon_sha256": "e758decd893a1576647e050d5c2537cbd528575d887e451f434574909d0a19f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7229",
    "kind": "arxiv",
    "version": 3
  }
}