Pith Number

pith:U73LE6RZ

pith:2016:U73LE6RZFUQ2IRQMLUDMGM5THJ

not attested not anchored not stored refs pending

Induced Weights on Quotient Modules and an Application to Error Correction in Coherent Networks

Eimear Byrne

arxiv:1611.09616 v2 · 2016-11-29 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U73LE6RZFUQ2IRQMLUDMGM5THJ}

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	2026-05-18T00:32:31.209927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7f6b27a392d21a4460c5d06c333b33a66902999830fcdba827e23f5366acbd5

Aliases

arxiv: 1611.09616 · arxiv_version: 1611.09616v2 · doi: 10.48550/arxiv.1611.09616 · pith_short_12: U73LE6RZFUQ2 · pith_short_16: U73LE6RZFUQ2IRQM · pith_short_8: U73LE6RZ

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/U73LE6RZFUQ2IRQMLUDMGM5THJ \
  | 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: a7f6b27a392d21a4460c5d06c333b33a66902999830fcdba827e23f5366acbd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5347a4ce4d72b92f107139dd7fd7038590ed7fb52dc0752339dcdf81da0f995",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-29T13:15:11Z",
    "title_canon_sha256": "cabef891d77a0d7f8e8779d98debeda51a43be6222536807ed7758facf7e20c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.09616",
    "kind": "arxiv",
    "version": 2
  }
}