Pith Number

pith:KAG6Y52D

pith:2022:KAG6Y52DUJF23EU3C4KRC2N3KN

not attested not anchored not stored refs pending

Degrees of maps and multiscale geometry

Aleksandr Berdnikov, Fedor Manin, Larry Guth

arxiv:2207.12347 v2 · 2022-07-25 · math.MG · math.AT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KAG6Y52DUJF23EU3C4KRC2N3KN}

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	2026-07-05T09:22:35.978228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

500dec7743a24bad929b17151169bb535bdb9a87d3987e84262cc205e779aeae

Aliases

arxiv: 2207.12347 · arxiv_version: 2207.12347v2 · doi: 10.48550/arxiv.2207.12347 · pith_short_12: KAG6Y52DUJF2 · pith_short_16: KAG6Y52DUJF23EU3 · pith_short_8: KAG6Y52D

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/KAG6Y52DUJF23EU3C4KRC2N3KN \
  | 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: 500dec7743a24bad929b17151169bb535bdb9a87d3987e84262cc205e779aeae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "039a1b52fe950410269662aa5a32ee8a1b5387a0f03914f67bb8e0187344c2f5",
    "cross_cats_sorted": [
      "math.AT",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2022-07-25T17:01:33Z",
    "title_canon_sha256": "022c0ac90c67992725bcf9c3c5eeca3cef0420dc80f9b34ec53722839d0db723"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.12347",
    "kind": "arxiv",
    "version": 2
  }
}