Pith Number

pith:NJYPQRJF

pith:2023:NJYPQRJF6BGBUIWDDEY765RTKR

not attested not anchored not stored refs pending

On Freedman's link packings

Elia Portnoy, Fedor Manin

arxiv:2308.08064 v4 · 2023-08-15 · math.GT · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NJYPQRJF6BGBUIWDDEY765RTKR}

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	2026-07-05T09:22:37.151987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a70f84525f04c1a22c31931ff7633547dadd79d5ffac777629f58c7cddaab0b

Aliases

arxiv: 2308.08064 · arxiv_version: 2308.08064v4 · doi: 10.48550/arxiv.2308.08064 · pith_short_12: NJYPQRJF6BGB · pith_short_16: NJYPQRJF6BGBUIWD · pith_short_8: NJYPQRJF

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/NJYPQRJF6BGBUIWDDEY765RTKR \
  | 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: 6a70f84525f04c1a22c31931ff7633547dadd79d5ffac777629f58c7cddaab0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9677e0d210bb5a4e7d5029325fd2743e0712911782df1ae0117b21f3bc6ca9e3",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2023-08-15T22:45:33Z",
    "title_canon_sha256": "b1228539d524879d37c6e1aa98a74bc449ef8a44545cc03b2752f24d11a865a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.08064",
    "kind": "arxiv",
    "version": 4
  }
}