Pith Number

pith:LHGE6QJO

pith:2017:LHGE6QJO5LQSSFBHCCXRXMNKXN

not attested not anchored not stored refs pending

Rectifiability of the singular set of multiple valued energy minimizing harmonic maps

Daniele Valtorta, Jonas Hirsch, Salvatore Stuvard

arxiv:1708.02116 v1 · 2017-08-07 · 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{LHGE6QJO5LQSSFBHCCXRXMNKXN}

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	2026-05-17T23:42:03.406563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59cc4f412eeae129142710af1bb1aabb548d8b922ae1782b82c67f0288b9cebd

Aliases

arxiv: 1708.02116 · arxiv_version: 1708.02116v1 · doi: 10.48550/arxiv.1708.02116 · pith_short_12: LHGE6QJO5LQS · pith_short_16: LHGE6QJO5LQSSFBH · pith_short_8: LHGE6QJO

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/LHGE6QJO5LQSSFBHCCXRXMNKXN \
  | 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: 59cc4f412eeae129142710af1bb1aabb548d8b922ae1782b82c67f0288b9cebd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38a8b7dcb6828cce89ef75d4a49e4e5124254ca4358781a4e807b9832b8a277d",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-08-07T13:44:04Z",
    "title_canon_sha256": "f9f2453d1a4a1a85d653551003750a924f8d7922d86c25047e30bcb566a943e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.02116",
    "kind": "arxiv",
    "version": 1
  }
}