Pith Number

pith:XIDI6AWY

pith:2013:XIDI6AWYWYKNQBYCKWLQJG3SIF

not attested not anchored not stored refs pending

On rates of convergence for the overlap in the Hopfield model

Bastian Martschink, Peter Eichelsbacher

arxiv:1303.5252 v1 · 2013-03-21 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XIDI6AWYWYKNQBYCKWLQJG3SIF}

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	2026-05-18T03:30:13.419685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba068f02d8b614d807025597049b72414d6c7171c9c8f673fd48e54e3a08414c

Aliases

arxiv: 1303.5252 · arxiv_version: 1303.5252v1 · doi: 10.48550/arxiv.1303.5252 · pith_short_12: XIDI6AWYWYKN · pith_short_16: XIDI6AWYWYKNQBYC · pith_short_8: XIDI6AWY

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/XIDI6AWYWYKNQBYCKWLQJG3SIF \
  | 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: ba068f02d8b614d807025597049b72414d6c7171c9c8f673fd48e54e3a08414c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fa62f1bb2eecf1ff6b99d19d3ad7454ef6fe541448d16493505716a0b2944bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-03-21T13:24:56Z",
    "title_canon_sha256": "092c0813af086946c628a8e4042fc0a2b0063ffc7f1afb76b196b01b2bc72cee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5252",
    "kind": "arxiv",
    "version": 1
  }
}