Pith Number

pith:EPG2OUUH

pith:2018:EPG2OUUHMLLI7OFOGKQIKQZQL5

not attested not anchored not stored refs pending

Relaxed Schroedinger bridges and robust network routing

Allen Tannenbaum, Michele Pavon, Tryphon Georgiou, Yongxin Chen

arxiv:1801.07852 v1 · 2018-01-24 · 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{EPG2OUUHMLLI7OFOGKQIKQZQL5}

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	2026-05-18T00:25:10.682134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23cda7528762d68fb8ae32a08543305f4b0ed3a10c78061451dd66d56b3fc756

Aliases

arxiv: 1801.07852 · arxiv_version: 1801.07852v1 · doi: 10.48550/arxiv.1801.07852 · pith_short_12: EPG2OUUHMLLI · pith_short_16: EPG2OUUHMLLI7OFO · pith_short_8: EPG2OUUH

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/EPG2OUUHMLLI7OFOGKQIKQZQL5 \
  | 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: 23cda7528762d68fb8ae32a08543305f4b0ed3a10c78061451dd66d56b3fc756

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "870aebe18569c490a0277cf86e73418d335a022b6eac8b43c5f38d5d048b9967",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-01-24T03:46:00Z",
    "title_canon_sha256": "70e232b7943aee5abd0ce1708930783cfe0328134a1292efb488e0cbbcdac0e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.07852",
    "kind": "arxiv",
    "version": 1
  }
}