Pith Number

pith:M7EUEZSP

pith:2026:M7EUEZSP5VUCMPTQDSFINC4WCA

not attested not anchored not stored refs pending

Square-Annular Dynamics and Coalescence Frontiers for $n+\tau(n)$

Eric Li (Trinity College, University of Cambridge)

arxiv:2606.17926 v1 · 2026-06-16 · math.NT · 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{M7EUEZSP5VUCMPTQDSFINC4WCA}

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	2026-06-19T16:10:43.723274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67c942664fed68263e701c8a868b961026449706ff98aab502c020b55c4a981b

Aliases

arxiv: 2606.17926 · arxiv_version: 2606.17926v1 · doi: 10.48550/arxiv.2606.17926 · pith_short_12: M7EUEZSP5VUC · pith_short_16: M7EUEZSP5VUCMPTQ · pith_short_8: M7EUEZSP

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/M7EUEZSP5VUCMPTQDSFINC4WCA \
  | 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: 67c942664fed68263e701c8a868b961026449706ff98aab502c020b55c4a981b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "324ba33f08ad27feb2512ea45c50af44113a717a936a3f154a98481077c6e290",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-16T13:38:26Z",
    "title_canon_sha256": "4e906fdc08e072019b0a246792683ec463ba824b503d296f06c2ca091a514f5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17926",
    "kind": "arxiv",
    "version": 1
  }
}