Pith Number

pith:R6IECPAX

pith:2020:R6IECPAXNQQFAKGCWRKLW7V4I5

not attested not anchored not stored refs pending

Phase transitions for $\phi^4_3$

Ajay Chandra, Hendrik Weber, Trishen S. Gunaratnam

arxiv:2006.15933 v2 · 2020-06-29 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R6IECPAXNQQFAKGCWRKLW7V4I5}

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.

Cited by

1 paper in Pith

Split-Aperture Phased Array Radar Resource Management for Tracking Tasks

Receipt and verification

First computed	2026-07-05T01:28:31.206834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f90413c176c205028c2b454bb7ebc47413a02f377a81f70cbfc449d2db9f75c

Aliases

arxiv: 2006.15933 · arxiv_version: 2006.15933v2 · doi: 10.48550/arxiv.2006.15933 · pith_short_12: R6IECPAXNQQF · pith_short_16: R6IECPAXNQQFAKGC · pith_short_8: R6IECPAX

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/R6IECPAXNQQFAKGCWRKLW7V4I5 \
  | 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: 8f90413c176c205028c2b454bb7ebc47413a02f377a81f70cbfc449d2db9f75c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10fc320660bd5aca6cfa7a00e063e6d7370972d3aa28f26abd699cb62f2fb75a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-06-29T11:03:52Z",
    "title_canon_sha256": "dc25e25b4be2b99830936204d54a8cf4399feaf4763ed792886596cb356e1252"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.15933",
    "kind": "arxiv",
    "version": 2
  }
}