Pith Number

pith:3MXFF4VV

pith:2024:3MXFF4VVYT5RKDX7SGLXJWU4H2

not attested not anchored not stored refs pending

On exponential frames near the critical density

Jordy Timo van Velthoven, Marcin Bownik

arxiv:2411.19562 v3 · 2024-11-29 · math.CA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3MXFF4VVYT5RKDX7SGLXJWU4H2}

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	2026-07-05T10:49:11.486960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db2e52f2b5c4fb150eff919774da9c3e8c4587eb731e4f0334b12f676b480177

Aliases

arxiv: 2411.19562 · arxiv_version: 2411.19562v3 · doi: 10.48550/arxiv.2411.19562 · pith_short_12: 3MXFF4VVYT5R · pith_short_16: 3MXFF4VVYT5RKDX7 · pith_short_8: 3MXFF4VV

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/3MXFF4VVYT5RKDX7SGLXJWU4H2 \
  | 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: db2e52f2b5c4fb150eff919774da9c3e8c4587eb731e4f0334b12f676b480177

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20e94c406c642c4c919c1b172e3ac3c34be70d6587f8ac765e81aa3219539a4c",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2024-11-29T09:15:00Z",
    "title_canon_sha256": "17baacf12477fcb778f473081712765a2b3be941838943e2e0cc16511f4feb91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.19562",
    "kind": "arxiv",
    "version": 3
  }
}