Pith Number

pith:OERD6B5I

pith:2014:OERD6B5IEQPEA2ETAQSGYEWCVD

not attested not anchored not stored refs pending

Differential Calculus on Graphon Space

Apoorva Khare, Bala Rajaratnam, Dominique Guillot, Peter Diao

arxiv:1403.3736 v2 · 2014-03-15 · math.CO · 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{OERD6B5IEQPEA2ETAQSGYEWCVD}

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	2026-05-18T02:25:32.665027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71223f07a8241e40689304246c12c2a8df48933c4ad726774ad8f43e0740b2b0

Aliases

arxiv: 1403.3736 · arxiv_version: 1403.3736v2 · doi: 10.48550/arxiv.1403.3736 · pith_short_12: OERD6B5IEQPE · pith_short_16: OERD6B5IEQPEA2ET · pith_short_8: OERD6B5I

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/OERD6B5IEQPEA2ETAQSGYEWCVD \
  | 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: 71223f07a8241e40689304246c12c2a8df48933c4ad726774ad8f43e0740b2b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c5c95d7d4f8f3976e513ebabe1a68c9db832a79678b12df429fee5f85490936",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-03-15T01:04:22Z",
    "title_canon_sha256": "af6c67d991ba8e499cc3fbf87a32b69d721ece375370d7ce2a272c657aa3afa3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.3736",
    "kind": "arxiv",
    "version": 2
  }
}