Pith Number

pith:44A2WB6G

pith:2000:44A2WB6GESAKB5AOIEYC6DFN6A

not attested not anchored not stored refs pending

Phase Diagram Structure of the Harper Map

F. P. Mancini, M. Tragtenberg, P. Castelo Ferreira

arxiv:cond-mat/0006310 v4 · 2000-06-21 · cond-mat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{44A2WB6GESAKB5AOIEYC6DFN6A}

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	2026-05-18T04:00:36.602888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e701ab07c62480a0f40e41302f0cadf03aaf316aa56f686d1f498338cf8cb436

Aliases

arxiv: cond-mat/0006310 · arxiv_version: cond-mat/0006310v4 · doi: 10.48550/arxiv.cond-mat/0006310 · pith_short_12: 44A2WB6GESAK · pith_short_16: 44A2WB6GESAKB5AO · pith_short_8: 44A2WB6G

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/44A2WB6GESAKB5AOIEYC6DFN6A \
  | 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: e701ab07c62480a0f40e41302f0cadf03aaf316aa56f686d1f498338cf8cb436

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c6ce14378e9226981dd2756d209f6b0a53a81329fc315e201b8262091512eca",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat",
    "submitted_at": "2000-06-21T01:36:32Z",
    "title_canon_sha256": "7405930a597715adde61c80dba12a0ceafe47e927fabe27a711ed336241fad60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0006310",
    "kind": "arxiv",
    "version": 4
  }
}