Pith Number

pith:JD4MMASB

pith:2019:JD4MMASBRMY2XEPFG7RFONDJWU

not attested not anchored not stored refs pending

Galois quotients of metric graphs and invariant linear systems

JuAe Song

arxiv:1901.09172 v1 · 2019-01-26 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JD4MMASBRMY2XEPFG7RFONDJWU}

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	2026-05-17T23:55:26.699157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48f8c602418b31ab91e537e2573469b51c1bb03ed2f1358ff86891176307ea25

Aliases

arxiv: 1901.09172 · arxiv_version: 1901.09172v1 · doi: 10.48550/arxiv.1901.09172 · pith_short_12: JD4MMASBRMY2 · pith_short_16: JD4MMASBRMY2XEPF · pith_short_8: JD4MMASB

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/JD4MMASBRMY2XEPFG7RFONDJWU \
  | 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: 48f8c602418b31ab91e537e2573469b51c1bb03ed2f1358ff86891176307ea25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65af4781ad81b9000a57f500c8b913d62606a42e971f29e9e062052ce723b740",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-01-26T08:02:15Z",
    "title_canon_sha256": "038241f6fd3fa7539a32de4030ee589e0998c00612b249c30110958d2a096419"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.09172",
    "kind": "arxiv",
    "version": 1
  }
}