Pith Number

pith:322ZYLD2

pith:2024:322ZYLD2KUP4TJ7NS2IPPKDDFP

not attested not anchored not stored refs pending

Phases and triple(multiple) point: critical phenomena around the AD singularity

Hiroshi Itoyama, Reiji Yoshioka

arxiv:2411.10747 v1 · 2024-11-16 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{322ZYLD2KUP4TJ7NS2IPPKDDFP}

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

Notes on phase structure and non-vanishing $\beta$ functions of one-unitary matrix model

Receipt and verification

First computed	2026-07-05T09:36:21.505572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

deb59c2c7a551fc9a7ed9690f7a8632bfd346d6d0abc50b0827023290aa0ae70

Aliases

arxiv: 2411.10747 · arxiv_version: 2411.10747v1 · doi: 10.48550/arxiv.2411.10747 · pith_short_12: 322ZYLD2KUP4 · pith_short_16: 322ZYLD2KUP4TJ7N · pith_short_8: 322ZYLD2

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/322ZYLD2KUP4TJ7NS2IPPKDDFP \
  | 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: deb59c2c7a551fc9a7ed9690f7a8632bfd346d6d0abc50b0827023290aa0ae70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8038a2e3174187f2770cc926fbe8a1ad69f89b385482d6e668683e457fcc9ac",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2024-11-16T09:09:10Z",
    "title_canon_sha256": "a790a280de9da12dd47ab0a6947f974193e90f9862e3bfa3500d88eccbbca6cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.10747",
    "kind": "arxiv",
    "version": 1
  }
}