Pith Number

pith:3DHOT62G

pith:2016:3DHOT62GEAVUXPRWI4X45UL4B3

not attested not anchored not stored refs pending

Topology of configuration space of the mean-field phi^4 model by Morse theory

Fabrizio Baroni

arxiv:1611.03960 v4 · 2016-11-12 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3DHOT62GEAVUXPRWI4X45UL4B3}

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	2026-05-17T23:40:14.518884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8cee9fb46202b4bbe36472fced17c0ee4554bbd0f55fbc2657a5f6236ffad6b

Aliases

arxiv: 1611.03960 · arxiv_version: 1611.03960v4 · doi: 10.48550/arxiv.1611.03960 · pith_short_12: 3DHOT62GEAVU · pith_short_16: 3DHOT62GEAVUXPRW · pith_short_8: 3DHOT62G

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/3DHOT62GEAVUXPRWI4X45UL4B3 \
  | 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: d8cee9fb46202b4bbe36472fced17c0ee4554bbd0f55fbc2657a5f6236ffad6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e637e41d0dc5b3b287cd7829f67aa73346d7a2df5731559e995afecc0ec73d4c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2016-11-12T06:47:43Z",
    "title_canon_sha256": "c39b84b08fafe757b03c4d2a56e0f6b992cfc1b49d58bb74834c2244393541d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03960",
    "kind": "arxiv",
    "version": 4
  }
}