Pith Number

pith:COMBUC3J

pith:2016:COMBUC3J4AZILKAGM4QLVP5TKJ

not attested not anchored not stored refs pending

Compact Sets in the Free Topology

Meric Augat, Scott McCullough, Sriram Balasubramanian

arxiv:1604.04580 v3 · 2016-04-15 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{COMBUC3J4AZILKAGM4QLVP5TKJ}

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	2026-05-18T00:33:37.061827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13981a0b69e03285a8066720babfb352692550212143440a56fa234e29123d2b

Aliases

arxiv: 1604.04580 · arxiv_version: 1604.04580v3 · doi: 10.48550/arxiv.1604.04580 · pith_short_12: COMBUC3J4AZI · pith_short_16: COMBUC3J4AZILKAG · pith_short_8: COMBUC3J

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/COMBUC3J4AZILKAGM4QLVP5TKJ \
  | 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: 13981a0b69e03285a8066720babfb352692550212143440a56fa234e29123d2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bed3a9efa852e95e0e420a0200e8b05d90a86bcb9440c8f00096f06f4b6b270b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-04-15T17:38:17Z",
    "title_canon_sha256": "1126853d0e90fe5bb2b2489cc47d44bda0c986adf33c7a65f663c3ebc56a906b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04580",
    "kind": "arxiv",
    "version": 3
  }
}