Pith Number

pith:N76NL3AJ

pith:2017:N76NL3AJRTCYM53XTERTOQEYHD

not attested not anchored not stored refs pending

Inverse-square law between time and amplitude for crossing tipping thresholds

Jan Sieber, Ozkan Karabacak, Paul Ritchie

arxiv:1709.02645 v6 · 2017-09-08 · 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{N76NL3AJRTCYM53XTERTOQEYHD}

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	2026-05-17T23:56:04.127044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ffcd5ec098cc5867777992337409838ccff7a91e7da5b292d8549cc127d9682

Aliases

arxiv: 1709.02645 · arxiv_version: 1709.02645v6 · doi: 10.48550/arxiv.1709.02645 · pith_short_12: N76NL3AJRTCY · pith_short_16: N76NL3AJRTCYM53X · pith_short_8: N76NL3AJ

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/N76NL3AJRTCYM53XTERTOQEYHD \
  | 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: 6ffcd5ec098cc5867777992337409838ccff7a91e7da5b292d8549cc127d9682

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ccd06d261cf7e2b0191362c853849f94a2bf355ff1c823091788134f75c109a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-09-08T10:59:16Z",
    "title_canon_sha256": "d1f2e2c818050abe9c61a7c7b34f1744126a8d94da545224469b6d545a054192"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.02645",
    "kind": "arxiv",
    "version": 6
  }
}