Pith Number

pith:CXSIALBX

pith:2011:CXSIALBX3FBRBKBTOUE7VW5GM7

not attested not anchored not stored refs pending

Topological pressure of simultaneous level sets

Vaughn Climenhaga

arxiv:1108.0063 v2 · 2011-07-30 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CXSIALBX3FBRBKBTOUE7VW5GM7}

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	2026-05-18T03:36:46.736051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15e4802c37d94310a8337509fadba667c1af60887fd5caf00eb9d5a724c0d904

Aliases

arxiv: 1108.0063 · arxiv_version: 1108.0063v2 · doi: 10.48550/arxiv.1108.0063 · pith_short_12: CXSIALBX3FBR · pith_short_16: CXSIALBX3FBRBKBT · pith_short_8: CXSIALBX

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/CXSIALBX3FBRBKBTOUE7VW5GM7 \
  | 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: 15e4802c37d94310a8337509fadba667c1af60887fd5caf00eb9d5a724c0d904

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b864a27572080fbb0dffc0e46dc480f1db46df8e8caf5649919411e7129dab7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-07-30T12:21:58Z",
    "title_canon_sha256": "7a62ef3c79119fc82c41506e8d381e709247f68873ee262512ac8a7841aeb877"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0063",
    "kind": "arxiv",
    "version": 2
  }
}