Pith Number

pith:PRJEHE3B

pith:2024:PRJEHE3BGCLOUHNMI6T4DTGXXR

not attested not anchored not stored refs pending

On internally projective sheaves of groups

David W\"arn

arxiv:2409.12835 v1 · 2024-09-19 · 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{PRJEHE3BGCLOUHNMI6T4DTGXXR}

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

A Foundation for Synthetic Stone Duality

Receipt and verification

First computed	2026-07-05T09:09:12.744179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c524393613096ea1dac47a7c1ccd7bc61e3752393180f2dc574f2d76d2e8a40

Aliases

arxiv: 2409.12835 · arxiv_version: 2409.12835v1 · doi: 10.48550/arxiv.2409.12835 · pith_short_12: PRJEHE3BGCLO · pith_short_16: PRJEHE3BGCLOUHNM · pith_short_8: PRJEHE3B

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/PRJEHE3BGCLOUHNMI6T4DTGXXR \
  | 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: 7c524393613096ea1dac47a7c1ccd7bc61e3752393180f2dc574f2d76d2e8a40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b344caa2c35b3b6ff6377496d3afaa6b2668565de4e2ad8885464f3fae75e75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2024-09-19T15:20:44Z",
    "title_canon_sha256": "6f6c8dea8fa2bea68576fa0b63f48bca86bc632b046907ca3f1cdb4c8ba4a541"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.12835",
    "kind": "arxiv",
    "version": 1
  }
}