Pith Number

pith:62GOM4DC

pith:2019:62GOM4DCBBGRDYJJWNUYRDAK3S

not attested not anchored not stored refs pending

Computer Bounds for Kronheimer-Mrowka Foam Evaluation

David Boozer

arxiv:1908.07133 v2 · 2019-08-20 · math.GT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{62GOM4DCBBGRDYJJWNUYRDAK3S}

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	2026-07-05T03:58:43.417009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f68ce67062084d11e129b369888c0adcb635fc8062a537a5cf3d7aaa674c7c04

Aliases

arxiv: 1908.07133 · arxiv_version: 1908.07133v2 · doi: 10.48550/arxiv.1908.07133 · pith_short_12: 62GOM4DCBBGR · pith_short_16: 62GOM4DCBBGRDYJJ · pith_short_8: 62GOM4DC

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/62GOM4DCBBGRDYJJWNUYRDAK3S \
  | 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: f68ce67062084d11e129b369888c0adcb635fc8062a537a5cf3d7aaa674c7c04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c5c3a28cffa923206a254232f1c6f30d5bead655c573a8d4d80727e8b9baf23",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-08-20T02:31:01Z",
    "title_canon_sha256": "1921760ffa375175a7976c2f5dc7eaa7f59963f053c869717bb898d90a277e1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07133",
    "kind": "arxiv",
    "version": 2
  }
}