Pith Number

pith:EVWA5CG7

pith:2019:EVWA5CG75OCI3FEDB6M37PJ4NL

not attested not anchored not stored refs pending

Universal Surgery Problems with Trivial Lagrangian

Michael Freedman, Vyacheslav Krushkal

arxiv:1901.05951 v1 · 2019-01-17 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EVWA5CG75OCI3FEDB6M37PJ4NL}

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	2026-07-05T03:18:23.211379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

256c0e88dfeb848d94830f99bfbd3c6ac303df5523adde12d5fb1c2ce587f18c

Aliases

arxiv: 1901.05951 · arxiv_version: 1901.05951v1 · doi: 10.48550/arxiv.1901.05951 · pith_short_12: EVWA5CG75OCI · pith_short_16: EVWA5CG75OCI3FED · pith_short_8: EVWA5CG7

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/EVWA5CG75OCI3FEDB6M37PJ4NL \
  | 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: 256c0e88dfeb848d94830f99bfbd3c6ac303df5523adde12d5fb1c2ce587f18c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6d6470a4bc6fbff6f927bc0cf4064fd9eb9ab03e627fa02cf3d19fdda142ff7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-01-17T18:46:50Z",
    "title_canon_sha256": "c99159c5552258e0de518e1b4af6a1455570801ebecca7aff85bcdae0d7e6120"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.05951",
    "kind": "arxiv",
    "version": 1
  }
}