Pith Number

pith:R4X7POVZ

pith:2016:R4X7POVZEPM2BPIZ72YTBUH3B2

not attested not anchored not stored refs pending

Self-referential Functions

Markus Hegland, Michael Barnsley, Peter Massopust

arxiv:1610.01369 v1 · 2016-10-05 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R4X7POVZEPM2BPIZ72YTBUH3B2}

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	2026-05-18T01:03:11.019256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f2ff7bab923d9a0bd19feb130d0fb0e898b23c36f95ff3be5fb7aaf1c0026d0

Aliases

arxiv: 1610.01369 · arxiv_version: 1610.01369v1 · doi: 10.48550/arxiv.1610.01369 · pith_short_12: R4X7POVZEPM2 · pith_short_16: R4X7POVZEPM2BPIZ · pith_short_8: R4X7POVZ

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/R4X7POVZEPM2BPIZ72YTBUH3B2 \
  | 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: 8f2ff7bab923d9a0bd19feb130d0fb0e898b23c36f95ff3be5fb7aaf1c0026d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4178cd428a164a450e17fc58f331d484025c4c108adaf6aa70eab06e3a2f023e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-10-05T11:35:38Z",
    "title_canon_sha256": "baddef01c6184b477c59d24b6d3113522f84e9bafdb69cc4a83453ea29beacb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01369",
    "kind": "arxiv",
    "version": 1
  }
}