Pith Number

pith:Q4V6D4SL

pith:2016:Q4V6D4SL5QWFDKHS24TTABOFTX

not attested not anchored not stored refs pending

Weight theory for ultraproducts

Martijn Caspers

arxiv:1605.07435 v2 · 2016-05-24 · math.OA · 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{Q4V6D4SL5QWFDKHS24TTABOFTX}

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	2026-05-18T01:13:23.154310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

872be1f24bec2c51a8f2d7273005c59df9c6c216e4fa66d5a7c9ca98b7dbfd70

Aliases

arxiv: 1605.07435 · arxiv_version: 1605.07435v2 · doi: 10.48550/arxiv.1605.07435 · pith_short_12: Q4V6D4SL5QWF · pith_short_16: Q4V6D4SL5QWFDKHS · pith_short_8: Q4V6D4SL

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/Q4V6D4SL5QWFDKHS24TTABOFTX \
  | 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: 872be1f24bec2c51a8f2d7273005c59df9c6c216e4fa66d5a7c9ca98b7dbfd70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdda40dfccf02a182360ef23075114afb93f4bfa0e8f31f8437c8ffb46f2de61",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-05-24T13:11:18Z",
    "title_canon_sha256": "37926407d3d848267b475adab8eaa3d3fa325c976e70a3dfffdd17e6f2ba10d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.07435",
    "kind": "arxiv",
    "version": 2
  }
}