Pith Number

pith:46ERSSA5

pith:2017:46ERSSA52IMRZHDQVO4MZSSZWM

not attested not anchored not stored refs pending

Birkhoff spectrum for piecewise monotone interval maps

Michal Rams, Thomas Jordan

arxiv:1712.03750 v1 · 2017-12-11 · 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{46ERSSA52IMRZHDQVO4MZSSZWM}

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	2026-05-18T00:28:20.183126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e78919481dd2191c9c70abb8ccca59b30785806f3e3d21b98c8bbed974b1a0b7

Aliases

arxiv: 1712.03750 · arxiv_version: 1712.03750v1 · doi: 10.48550/arxiv.1712.03750 · pith_short_12: 46ERSSA52IMR · pith_short_16: 46ERSSA52IMRZHDQ · pith_short_8: 46ERSSA5

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/46ERSSA52IMRZHDQVO4MZSSZWM \
  | 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: e78919481dd2191c9c70abb8ccca59b30785806f3e3d21b98c8bbed974b1a0b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3372651b548fefc6063725ea2f4683369cb26cdccca88b33883bda6cf48cf82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-12-11T12:41:45Z",
    "title_canon_sha256": "b52c62404a0ee8aeb9d15fa2dbc477f9a24f05a934da2b15ba9163eeda1310f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03750",
    "kind": "arxiv",
    "version": 1
  }
}