Pith Number

pith:5JSJHXNQ

pith:2026:5JSJHXNQQDWTQ2C64OMVJT2FTQ

not attested not anchored not stored refs pending

Spectral analysis of the logit mapping and implications for stochastic user equilibrium algorithms

Debojjal Bagchi, Stephen D. Boyles

arxiv:2605.21843 v1 · 2026-05-21 · 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{5JSJHXNQQDWTQ2C64OMVJT2FTQ}

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	2026-05-22T01:04:10.745788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea6493ddb080ed38685ee39954cf459c003c0a3fe30b634a576e65acbfa4edbf

Aliases

arxiv: 2605.21843 · arxiv_version: 2605.21843v1 · doi: 10.48550/arxiv.2605.21843 · pith_short_12: 5JSJHXNQQDWT · pith_short_16: 5JSJHXNQQDWTQ2C6 · pith_short_8: 5JSJHXNQ

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/5JSJHXNQQDWTQ2C64OMVJT2FTQ \
  | 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: ea6493ddb080ed38685ee39954cf459c003c0a3fe30b634a576e65acbfa4edbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ccf3bbd03f4a1693492fd3d66b961c994745bc051f24b0f448d5346143ec138",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-05-21T00:25:59Z",
    "title_canon_sha256": "03f2964c6cb39f7d61f7cd65d78d605aa1b9b36b7dd05bd33e4c8b4054ac9809"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21843",
    "kind": "arxiv",
    "version": 1
  }
}