Pith Number

pith:FQKUHECI

pith:2025:FQKUHECIC56NPAS6UJQFVIS6Z2

not attested not anchored not stored refs pending

Equilibrium Stability for Open Zooming Systems

Eduardo Santana, Rafael A. Bilbao

arxiv:2502.08693 v2 · 2025-02-12 · 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{FQKUHECIC56NPAS6UJQFVIS6Z2}

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	2026-07-05T10:24:01.075526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c15439048177cd7825ea2605aa25ece840d2f2e98a2bb1a28e4ac5ba30e6780

Aliases

arxiv: 2502.08693 · arxiv_version: 2502.08693v2 · doi: 10.48550/arxiv.2502.08693 · pith_short_12: FQKUHECIC56N · pith_short_16: FQKUHECIC56NPAS6 · pith_short_8: FQKUHECI

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/FQKUHECIC56NPAS6UJQFVIS6Z2 \
  | 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: 2c15439048177cd7825ea2605aa25ece840d2f2e98a2bb1a28e4ac5ba30e6780

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ce20c4a39cce07790fab3471f5d50980e29c5fd4fbc89bba8aad286dfd37a2c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-02-12T16:11:37Z",
    "title_canon_sha256": "f28397d43dae7002afe9eccb797b484120ea6dde477d07f19ecdc22bc3c13fbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.08693",
    "kind": "arxiv",
    "version": 2
  }
}