Pith Number

pith:NGMF7VZW

pith:2019:NGMF7VZW7TBPBCW6RQ3ITY6ERZ

not attested not anchored not stored refs pending

Minimizing 1/2-harmonic maps into spheres

Marc Pegon, Vincent Millot

arxiv:1901.05790 v1 · 2019-01-17 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NGMF7VZW7TBPBCW6RQ3ITY6ERZ}

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	2026-05-17T23:56:06.158739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69985fd736fcc2f08ade8c3689e3c48e5118343199e3b673d21f85be742514c3

Aliases

arxiv: 1901.05790 · arxiv_version: 1901.05790v1 · doi: 10.48550/arxiv.1901.05790 · pith_short_12: NGMF7VZW7TBP · pith_short_16: NGMF7VZW7TBPBCW6 · pith_short_8: NGMF7VZW

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/NGMF7VZW7TBPBCW6RQ3ITY6ERZ \
  | 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: 69985fd736fcc2f08ade8c3689e3c48e5118343199e3b673d21f85be742514c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0c57b46c6e504f2f67a8b2a9d4e0fb4c82a0cac1554f86bbb4af5b3c921e4e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-01-17T13:56:13Z",
    "title_canon_sha256": "d462ce6f5e67576348f78d9fb421ea3bbbf0566cd4693c2b65d0b20b58cbdd91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.05790",
    "kind": "arxiv",
    "version": 1
  }
}