Pith Number

pith:ZAMM4AVN

pith:2006:ZAMM4AVNDLPVSD7M4KW472RRRY

not attested not anchored not stored refs pending

Numerical Approach to Multi Dimensional Phase Transitions

Stephan J. Huber, Thomas Konstandin

arxiv:hep-ph/0603081 v2 · 2006-03-10 · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZAMM4AVNDLPVSD7M4KW472RRRY}

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

Polyakov Loops Tame Phase Transitions

Receipt and verification

First computed	2026-07-04T17:01:41.590895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c818ce02ad1adf590fece2adcfea318e128a1d0e17aaacc553534e9fa77b386d

Aliases

arxiv: hep-ph/0603081 · arxiv_version: hep-ph/0603081v2 · doi: 10.48550/arxiv.hep-ph/0603081 · pith_short_12: ZAMM4AVNDLPV · pith_short_16: ZAMM4AVNDLPVSD7M · pith_short_8: ZAMM4AVN

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/ZAMM4AVNDLPVSD7M4KW472RRRY \
  | 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: c818ce02ad1adf590fece2adcfea318e128a1d0e17aaacc553534e9fa77b386d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8d464379d64e39d44438bebb8473226f949929396c76565135f22a81a1d7199",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2006-03-10T10:06:09Z",
    "title_canon_sha256": "a91cb261baa52e928de2104c7051cf36382bccb5f73bb83edb758eb94293e4a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0603081",
    "kind": "arxiv",
    "version": 2
  }
}