Pith Number

pith:3MTWIA2P

pith:2018:3MTWIA2P7CKR37HVNC7GFLZ6EL

not attested not anchored not stored refs pending

Foam evaluation and Kronheimer--Mrowka theories

Louis-Hadrien Robert, Mikhail Khovanov

arxiv:1808.09662 v1 · 2018-08-29 · math.GT · math.CO · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3MTWIA2P7CKR37HVNC7GFLZ6EL}

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	2026-05-18T00:06:54.839407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db2764034ff8951dfcf568be62af3e22ea73d9d551aaff76a944f9317b368a08

Aliases

arxiv: 1808.09662 · arxiv_version: 1808.09662v1 · doi: 10.48550/arxiv.1808.09662 · pith_short_12: 3MTWIA2P7CKR · pith_short_16: 3MTWIA2P7CKR37HV · pith_short_8: 3MTWIA2P

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/3MTWIA2P7CKR37HVNC7GFLZ6EL \
  | 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: db2764034ff8951dfcf568be62af3e22ea73d9d551aaff76a944f9317b368a08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4c56ded22ea09449b512a878c1939014ced41cbeb4af0c70fdbd7d888c10411",
    "cross_cats_sorted": [
      "math.CO",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-08-29T07:18:24Z",
    "title_canon_sha256": "40e4ebe42cefd932b1b08e6ca8b287cde9c2389fbd86964a3f45e2f7b82c7d62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.09662",
    "kind": "arxiv",
    "version": 1
  }
}