Pith Number

pith:BTYVGP7Y

pith:2016:BTYVGP7YIZX35PY7UQHAHDA4MD

not attested not anchored not stored refs pending

Quantum statistical mechanics in arithmetic topology

Matilde Marcolli, Yujie Xu

arxiv:1602.04890 v1 · 2016-02-16 · math-ph · math.GT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BTYVGP7YIZX35PY7UQHAHDA4MD}

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	2026-05-18T00:51:51.823931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cf1533ff8466fbebf1fa40e038c1c60f06db6db08c951c3f2c378de3109bc69

Aliases

arxiv: 1602.04890 · arxiv_version: 1602.04890v1 · doi: 10.48550/arxiv.1602.04890 · pith_short_12: BTYVGP7YIZX3 · pith_short_16: BTYVGP7YIZX35PY7 · pith_short_8: BTYVGP7Y

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/BTYVGP7YIZX35PY7UQHAHDA4MD \
  | 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: 0cf1533ff8466fbebf1fa40e038c1c60f06db6db08c951c3f2c378de3109bc69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0c841009378c7dd310375ed142c7da2c469156b5f99be4935145522b7ee5d7b",
    "cross_cats_sorted": [
      "math.GT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-02-16T02:39:58Z",
    "title_canon_sha256": "5ea8c2143dd769f49c3c7a2c3f477c80c1f832f9603816ac2f8cc5ce52da2c46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04890",
    "kind": "arxiv",
    "version": 1
  }
}