Pith Number

pith:RMLUVL63

pith:2026:RMLUVL63P6IZOG2OWPVP3QPMHC

not attested not anchored not stored refs pending

Counting in Vieta graphs over $\mathbb{F}_p$

Bogdan Nica

arxiv:2608.03097 v1 · 2026-08-04 · math.NT · 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{RMLUVL63P6IZOG2OWPVP3QPMHC}

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	2026-08-05T00:45:35.179506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b174aafdb7f91971b4eb3eafdc1ec38b40d642d00a2719fce06573db38da5d0

Aliases

arxiv: 2608.03097 · arxiv_version: 2608.03097v1 · doi: 10.48550/arxiv.2608.03097 · pith_short_12: RMLUVL63P6IZ · pith_short_16: RMLUVL63P6IZOG2O · pith_short_8: RMLUVL63

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/RMLUVL63P6IZOG2OWPVP3QPMHC \
  | 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: 8b174aafdb7f91971b4eb3eafdc1ec38b40d642d00a2719fce06573db38da5d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c84b42c6347e729b123cf564e4a56942e53fb2ff6583edb7a1c0a17739efe3d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-08-04T04:14:05Z",
    "title_canon_sha256": "e6d8f59bb87da66bd645e543be2ebb281b1ba1d033c3ad6647fbc99fee49433d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.03097",
    "kind": "arxiv",
    "version": 1
  }
}