Pith Number

pith:FR3MX75H

pith:2017:FR3MX75HB3SA7SPLMIOZKHCSBW

not attested not anchored not stored refs pending

Existence and boundary regularity for degenerate phase transitions

Casimir Lindfors, Jos\'e Miguel Urbano, Paolo Baroni, Tuomo Kuusi

arxiv:1702.07159 v1 · 2017-02-23 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FR3MX75HB3SA7SPLMIOZKHCSBW}

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	2026-05-18T00:50:08.046411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c76cbffa70ee40fc9eb621d951c520dbd4c233fc016419a0deb9ad66cbb30c4

Aliases

arxiv: 1702.07159 · arxiv_version: 1702.07159v1 · doi: 10.48550/arxiv.1702.07159 · pith_short_12: FR3MX75HB3SA · pith_short_16: FR3MX75HB3SA7SPL · pith_short_8: FR3MX75H

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/FR3MX75HB3SA7SPLMIOZKHCSBW \
  | 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: 2c76cbffa70ee40fc9eb621d951c520dbd4c233fc016419a0deb9ad66cbb30c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b7813703768d9fc48cf135eac1b305a38e1a3b0e59610a99e5647cf373a3a70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-02-23T10:14:35Z",
    "title_canon_sha256": "1de458ac81c5bfd96a4283848cc3e18dd6ee82d11a1cb2416c74d2958228170f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.07159",
    "kind": "arxiv",
    "version": 1
  }
}