Pith Number

pith:SBMNSSH4

pith:2020:SBMNSSH42IUOYLYRIPL4UZCVNX

not attested not anchored not stored refs pending

Equilibrium States for Open Zooming Systems

Eduardo Santana

arxiv:2010.08143 v7 · 2020-10-15 · 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{SBMNSSH42IUOYLYRIPL4UZCVNX}

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

Equilibrium Stability for Open Zooming Systems

Receipt and verification

First computed	2026-07-05T10:23:16.626376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9058d948fcd228ec2f1143d7ca64556df6b913bc0d8a1748b72c7ffb8efd213e

Aliases

arxiv: 2010.08143 · arxiv_version: 2010.08143v7 · doi: 10.48550/arxiv.2010.08143 · pith_short_12: SBMNSSH42IUO · pith_short_16: SBMNSSH42IUOYLYR · pith_short_8: SBMNSSH4

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/SBMNSSH42IUOYLYRIPL4UZCVNX \
  | 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: 9058d948fcd228ec2f1143d7ca64556df6b913bc0d8a1748b72c7ffb8efd213e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3047c074db2152765dd8b07c36c9578c8b06c2a1c5ae9e315f6d8e4fffccb15",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2020-10-15T00:39:50Z",
    "title_canon_sha256": "42e61a783ed95b46402a05cf588ff6ce43dd0ae152189a73dd61392b64824cdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.08143",
    "kind": "arxiv",
    "version": 7
  }
}