Pith Number

pith:REZME7ID

pith:2017:REZME7IDI4K7D7OHUXRNBVXJQA

not attested not anchored not stored refs pending

The Equivalence Extension Property and Model Structures

Christian Sattler

arxiv:1704.06911 v4 · 2017-04-23 · math.CT · math.AT · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{REZME7IDI4K7D7OHUXRNBVXJQA}

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.

Cited by

1 paper in Pith

Duality theory for categorical theories

Receipt and verification

First computed	2026-05-18T00:36:38.644454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8932c27d034715f1fdc7a5e2d0d6e9803d22a226efea2af65f6c7af1ee42bcfd

Aliases

arxiv: 1704.06911 · arxiv_version: 1704.06911v4 · doi: 10.48550/arxiv.1704.06911 · pith_short_12: REZME7IDI4K7 · pith_short_16: REZME7IDI4K7D7OH · pith_short_8: REZME7ID

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/REZME7IDI4K7D7OHUXRNBVXJQA \
  | 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: 8932c27d034715f1fdc7a5e2d0d6e9803d22a226efea2af65f6c7af1ee42bcfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b63bcbded60ded013ee5bc26a0a8bae8a94988d6ecd7e1f9d9887fb70556b41",
    "cross_cats_sorted": [
      "math.AT",
      "math.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2017-04-23T11:16:16Z",
    "title_canon_sha256": "6bb7ef709ba934f2c83e52313b3ec58253577ea9072f84907a5345ab78cb9420"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.06911",
    "kind": "arxiv",
    "version": 4
  }
}