Pith Number

pith:5JRSMQ3N

pith:2026:5JRSMQ3NGE4PAGEOWYAL3OMDLD

not attested not anchored not stored refs pending

Dimers, filters, and $q$-deformed real numbers

James Propp

arxiv:2607.14332 v1 · 2026-07-15 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5JRSMQ3NGE4PAGEOWYAL3OMDLD}

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.

Cited by

1 paper in Pith

Coefficients of $q$-real numbers: their combinatorial meaning and growth

Receipt and verification

First computed	2026-07-17T00:21:05.943398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea6326436d3138f0188eb600bdb98358e1ba3ac7ee46d1a66d4afb09abc674a0

Aliases

arxiv: 2607.14332 · arxiv_version: 2607.14332v1 · doi: 10.48550/arxiv.2607.14332 · pith_short_12: 5JRSMQ3NGE4P · pith_short_16: 5JRSMQ3NGE4PAGEO · pith_short_8: 5JRSMQ3N

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/5JRSMQ3NGE4PAGEOWYAL3OMDLD \
  | 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: ea6326436d3138f0188eb600bdb98358e1ba3ac7ee46d1a66d4afb09abc674a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db012d0b4627977d3bac2ff678d341a6bfb405fd6a31e491e66efb39f75dec5a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-15T19:53:30Z",
    "title_canon_sha256": "3cf8e82fc4e47f4a00b972d3458d4a170acb29d2395c36b8ecbd0218dc4bc4e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.14332",
    "kind": "arxiv",
    "version": 1
  }
}