Pith Number

pith:3FOMDCEN

pith:2015:3FOMDCENUFRKP4VZYIOML2MSIU

not attested not anchored not stored refs pending

An $\epsilon$-Nash equilibrium with high probability for strategic customers in heavy traffic

Rami Atar, Subhamay Saha

arxiv:1505.01328 v1 · 2015-05-06 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3FOMDCENUFRKP4VZYIOML2MSIU}

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	2026-05-18T02:16:49.757547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d95cc1888da162a7f2b9c21cc5e99245214006cbea37cf536e5ac22b9c7aefb4

Aliases

arxiv: 1505.01328 · arxiv_version: 1505.01328v1 · doi: 10.48550/arxiv.1505.01328 · pith_short_12: 3FOMDCENUFRK · pith_short_16: 3FOMDCENUFRKP4VZ · pith_short_8: 3FOMDCEN

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/3FOMDCENUFRKP4VZYIOML2MSIU \
  | 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: d95cc1888da162a7f2b9c21cc5e99245214006cbea37cf536e5ac22b9c7aefb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1cbe07802e1eadefbf4c37cecccba879405ffb82b8b9c3e425407615f991319",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-05-06T12:00:48Z",
    "title_canon_sha256": "81cc86d2a9a889dd39c53e2e18b4bce473ee5b2987503a216139f9fe4ad42aae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01328",
    "kind": "arxiv",
    "version": 1
  }
}