Pith Number

pith:ECJZCUOX

pith:2019:ECJZCUOXVDWWJ3KDVZTL65SWM5

not attested not anchored not stored refs pending

$L'$-localization in an $\infty$-topos

Marco Vergura

arxiv:1907.03837 v1 · 2019-07-08 · math.AT · 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{ECJZCUOXVDWWJ3KDVZTL65SWM5}

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	2026-05-17T23:41:06.663807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20939151d7a8ed64ed43ae66bf765667453692c60b667f3c8895cd50d742ae6f

Aliases

arxiv: 1907.03837 · arxiv_version: 1907.03837v1 · doi: 10.48550/arxiv.1907.03837 · pith_short_12: ECJZCUOXVDWW · pith_short_16: ECJZCUOXVDWWJ3KD · pith_short_8: ECJZCUOX

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/ECJZCUOXVDWWJ3KDVZTL65SWM5 \
  | 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: 20939151d7a8ed64ed43ae66bf765667453692c60b667f3c8895cd50d742ae6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7803a0405159d076486a02014f07189d4f551f98beaf42d9bcb0da9c48a79c0c",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-07-08T20:02:02Z",
    "title_canon_sha256": "50d2aab2afd2209c8396d2e56bf4b4573b5104f7b7a719d61cb04898ee91e9c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.03837",
    "kind": "arxiv",
    "version": 1
  }
}