Pith Number

pith:WJC3V3J3

pith:2017:WJC3V3J3FLUI3DM2UOQ5CFYZ43

not attested not anchored not stored refs pending

Discontinuity of a degenerating escape rate

Laura DeMarco, Y\^usuke Okuyama

arxiv:1710.01660 v2 · 2017-10-04 · 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{WJC3V3J3FLUI3DM2UOQ5CFYZ43}

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	2026-05-18T00:23:58.857015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b245baed3b2ae88d8d9aa3a1d11719e6f1ff0d724c978f7f49b27a12fec17d7c

Aliases

arxiv: 1710.01660 · arxiv_version: 1710.01660v2 · doi: 10.48550/arxiv.1710.01660 · pith_short_12: WJC3V3J3FLUI · pith_short_16: WJC3V3J3FLUI3DM2 · pith_short_8: WJC3V3J3

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/WJC3V3J3FLUI3DM2UOQ5CFYZ43 \
  | 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: b245baed3b2ae88d8d9aa3a1d11719e6f1ff0d724c978f7f49b27a12fec17d7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bbf9c7962b9099de158d86dfa959734c2cb13560926337d74fa2e86b9168880",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-10-04T15:36:59Z",
    "title_canon_sha256": "45d824447b6d30fe41681ccec543aa8fce356e78d891a7fddeb5b219d12f4162"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.01660",
    "kind": "arxiv",
    "version": 2
  }
}