Pith Number

pith:UFSAKXHX

pith:2019:UFSAKXHXSXLZGVL4TIIZ62AFDE

not attested not anchored not stored refs pending

Localization theory in an $\infty$-topos

Marco Vergura

arxiv:1907.03836 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{UFSAKXHXSXLZGVL4TIIZ62AFDE}

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	2026-05-17T23:41:06.673336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a164055cf795d793557c9a119f68051923fe746b601e17feabc51d72888f490e

Aliases

arxiv: 1907.03836 · arxiv_version: 1907.03836v1 · doi: 10.48550/arxiv.1907.03836 · pith_short_12: UFSAKXHXSXLZ · pith_short_16: UFSAKXHXSXLZGVL4 · pith_short_8: UFSAKXHX

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/UFSAKXHXSXLZGVL4TIIZ62AFDE \
  | 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: a164055cf795d793557c9a119f68051923fe746b601e17feabc51d72888f490e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "292c677d7beadb9ad85f566fe33abcb90f1b4c975d2dd42ab420db9015622b40",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-07-08T20:01:56Z",
    "title_canon_sha256": "313377fdf6de0025bff3971f09fe3efcf81a9ea445c65e8a5056f9a746679da9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.03836",
    "kind": "arxiv",
    "version": 1
  }
}