Pith Number

pith:BNPEI5E6

pith:2018:BNPEI5E6RS4LSHS6ICZC54ZLO6

not attested not anchored not stored refs pending

Janelidze's Categorical Galois Theory as a step in the Joyal and Tierney result

Christopher Townsend

arxiv:1812.10941 v1 · 2018-12-28 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BNPEI5E6RS4LSHS6ICZC54ZLO6}

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	2026-05-17T23:57:16.732852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b5e44749e8cb8b91e5e40b22ef32b77a3e31cb12a439ca5b1857627f2a5dd5e

Aliases

arxiv: 1812.10941 · arxiv_version: 1812.10941v1 · doi: 10.48550/arxiv.1812.10941 · pith_short_12: BNPEI5E6RS4L · pith_short_16: BNPEI5E6RS4LSHS6 · pith_short_8: BNPEI5E6

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/BNPEI5E6RS4LSHS6ICZC54ZLO6 \
  | 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: 0b5e44749e8cb8b91e5e40b22ef32b77a3e31cb12a439ca5b1857627f2a5dd5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31b4752a7b409e74d71d2b2973284f9efc135bf2ba7821d5269a39e2e4087b02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2018-12-28T10:03:56Z",
    "title_canon_sha256": "678f498aeb3035f2b10153752bb73c2db2d5de905c49e9261f7abcc06c9f7b71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.10941",
    "kind": "arxiv",
    "version": 1
  }
}