Pith Number

pith:VHREWZQL

pith:2017:VHREWZQLOLHWXJYQ6BGKVR3SGG

not attested not anchored not stored refs pending

Decomposition of infinite-to-one factor codes and uniqueness of relative equilibrium states

Jisang Yoo

arxiv:1705.00448 v2 · 2017-05-01 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VHREWZQLOLHWXJYQ6BGKVR3SGG}

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	2026-05-18T00:24:37.724877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9e24b660b72cf6ba710f04caac7723186e7505941e9945e4ffc711e03b2de2f

Aliases

arxiv: 1705.00448 · arxiv_version: 1705.00448v2 · doi: 10.48550/arxiv.1705.00448 · pith_short_12: VHREWZQLOLHW · pith_short_16: VHREWZQLOLHWXJYQ · pith_short_8: VHREWZQL

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/VHREWZQLOLHWXJYQ6BGKVR3SGG \
  | 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: a9e24b660b72cf6ba710f04caac7723186e7505941e9945e4ffc711e03b2de2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28af4c87d6ae4f0b9c75acce86f7f1c8ac0d60fe1fc3cb38f193b695a4e48b8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-05-01T08:57:20Z",
    "title_canon_sha256": "2db8c23cbd7e9322167e5019d56086a9229dfd59b2204a7b1007d4275e7ed4c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.00448",
    "kind": "arxiv",
    "version": 2
  }
}