Pith Number

pith:DPNY4AXV

pith:2020:DPNY4AXVBXJT6LW7VZKVRU2JEZ

not attested not anchored not stored refs pending

Odd primary analogs of Real orientations

Andrew Senger, Dylan Wilson, Jeremy Hahn

arxiv:2009.12716 v2 · 2020-09-27 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DPNY4AXVBXJT6LW7VZKVRU2JEZ}

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	2026-07-05T06:08:01.578083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bdb8e02f50dd33f2edfae5558d349266d5b8fa05fb5e225a916f7ce15182cf8

Aliases

arxiv: 2009.12716 · arxiv_version: 2009.12716v2 · doi: 10.48550/arxiv.2009.12716 · pith_short_12: DPNY4AXVBXJT · pith_short_16: DPNY4AXVBXJT6LW7 · pith_short_8: DPNY4AXV

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/DPNY4AXVBXJT6LW7VZKVRU2JEZ \
  | 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: 1bdb8e02f50dd33f2edfae5558d349266d5b8fa05fb5e225a916f7ce15182cf8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ab2b91356e1c52d9b0195dac1a649d00f8371b9980c3333a21eb220e8006809",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2020-09-27T00:33:37Z",
    "title_canon_sha256": "d16cf3e39a41b50ed3beab69a921a81b6e58a8cc92b127a014e08a0600fc1ac4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.12716",
    "kind": "arxiv",
    "version": 2
  }
}