Pith Number

pith:RIZA6AX5

pith:2020:RIZA6AX5FSIQ2YH2KCHQ3V2LIM

not attested not anchored not stored refs pending

Hyperbolic band theory

Joseph Maciejko, Steven Rayan

arxiv:2008.05489 v2 · 2020-08-12 · cond-mat.mes-hall · hep-th · math-ph · math.AG · math.MP · quant-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{RIZA6AX5FSIQ2YH2KCHQ3V2LIM}

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	2026-07-05T03:12:45.299035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a320f02fd2c910d60fa508f0dd74b43179120473567434e8d9c8832b0e16ab9

Aliases

arxiv: 2008.05489 · arxiv_version: 2008.05489v2 · doi: 10.48550/arxiv.2008.05489 · pith_short_12: RIZA6AX5FSIQ · pith_short_16: RIZA6AX5FSIQ2YH2 · pith_short_8: RIZA6AX5

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/RIZA6AX5FSIQ2YH2KCHQ3V2LIM \
  | 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: 8a320f02fd2c910d60fa508f0dd74b43179120473567434e8d9c8832b0e16ab9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5338453e6d9cb37428d615b264d99a3e17cd51a6c64d494be52447879bb617d",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.AG",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2020-08-12T18:00:11Z",
    "title_canon_sha256": "d53b32960d7b354879f63a6cc63ebcc66463beba0b9dafc0ae47dba1cb0d1d15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.05489",
    "kind": "arxiv",
    "version": 2
  }
}