Pith Number

pith:VYWDNC37

pith:2020:VYWDNC37KELAO2IB3FH3VYGZOG

not attested not anchored not stored refs pending

Non-Uniqueness of Bubbling for Wave Maps

Dana Mendelson, Max Engelstein

arxiv:2005.14128 v3 · 2020-05-28 · math.AP · 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{VYWDNC37KELAO2IB3FH3VYGZOG}

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	2026-07-05T05:27:15.189146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae2c368b7f5116076901d94fbae0d971bcb3ac480331e5434f8871fce11baf4f

Aliases

arxiv: 2005.14128 · arxiv_version: 2005.14128v3 · doi: 10.48550/arxiv.2005.14128 · pith_short_12: VYWDNC37KELA · pith_short_16: VYWDNC37KELAO2IB · pith_short_8: VYWDNC37

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/VYWDNC37KELAO2IB3FH3VYGZOG \
  | 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: ae2c368b7f5116076901d94fbae0d971bcb3ac480331e5434f8871fce11baf4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7278ab33c66961cf6af4a82abcdbd213ebecb65172558852d57e3787e7955e1",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-05-28T16:24:39Z",
    "title_canon_sha256": "aca0dda9ffb3e519d1311c05013abbebeda76f9b20e6bc55f88c4a2c4fcd9864"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.14128",
    "kind": "arxiv",
    "version": 3
  }
}