Pith Number

pith:PA4CXUQB

pith:2017:PA4CXUQB23NVTHV6FCV3HZRSER

not attested not anchored not stored refs pending

Actions of metric groups and continuous logic

Aleksander Ivanov

arxiv:1706.04157 v2 · 2017-06-13 · math.LO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PA4CXUQB23NVTHV6FCV3HZRSER}

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	2026-05-18T00:41:43.970009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78382bd201d6db599ebe28abb3e6322442edf7e131d5ee9917e47afa6047717f

Aliases

arxiv: 1706.04157 · arxiv_version: 1706.04157v2 · doi: 10.48550/arxiv.1706.04157 · pith_short_12: PA4CXUQB23NV · pith_short_16: PA4CXUQB23NVTHV6 · pith_short_8: PA4CXUQB

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/PA4CXUQB23NVTHV6FCV3HZRSER \
  | 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: 78382bd201d6db599ebe28abb3e6322442edf7e131d5ee9917e47afa6047717f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6ef447f950ab6038c6a930210fa6a1c1345f01ea98c7f83d387401815c04f3b",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-06-13T16:52:28Z",
    "title_canon_sha256": "4a139630991f2ce0aeacc7c54c48458306f67dbf5a034b4bcd113dd7ef0138ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.04157",
    "kind": "arxiv",
    "version": 2
  }
}