Pith Number

pith:MSF6WS4N

pith:2011:MSF6WS4NLRWXL3FGZBDHBBTOOQ

not attested not anchored not stored refs pending

Phases of the infinite U Hubbard model

Erez Berg, Hong Yao, Li Liu, Steven A. Kivelson

arxiv:1103.3315 v1 · 2011-03-16 · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MSF6WS4NLRWXL3FGZBDHBBTOOQ}

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	2026-05-18T02:02:50.484029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

648beb4b8d5c6d75eca6c84670866e74369e4e68b716a6933378af8872c91c74

Aliases

arxiv: 1103.3315 · arxiv_version: 1103.3315v1 · doi: 10.48550/arxiv.1103.3315 · pith_short_12: MSF6WS4NLRWX · pith_short_16: MSF6WS4NLRWXL3FG · pith_short_8: MSF6WS4N

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/MSF6WS4NLRWXL3FGZBDHBBTOOQ \
  | 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: 648beb4b8d5c6d75eca6c84670866e74369e4e68b716a6933378af8872c91c74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfc3a92b5a209b8b88480863506d03ace8542ffaa19ded78dd610bd1b8f4ff59",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2011-03-16T23:22:08Z",
    "title_canon_sha256": "0ce75b867651f75d1fef97bb9421ca812595391296c372721b3d0d96dc017be8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3315",
    "kind": "arxiv",
    "version": 1
  }
}